Dépouillements

Peak response of a nonlinear beam / Gioffrè, Massimiliano in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007)

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.963–969. Titre : Peak response of a nonlinear beam Type de document : texte imprimé Auteurs : Gioffrè, Massimiliano, Auteur ; Vittorio Gusella, Auteur Année de publication : 2007 Article en page(s) : pp.963–969. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Beams,  Dynamic  structural  analysis,  Nonlinear  systems,  Dynamic  response  Random  processes  Stochastic  models  Distribution  functions Résumé : A model for estimating the peak dynamic response distribution of a nonlinear beam, based on a special class of non-Gaussian stochastic processes, is proposed in this paper. It is shown that the stochastic response of a cantilever beam with geometrically nonlinear behavior can be accurately calibrated with translation processes. Different models to describe the significant bimodal features in the marginal probability density functions of the response time histories are proposed. Finally, two of these models are used to estimate the response peak value distributions and the results are compared. This comparison demonstrates the effects of inaccurate models for the parent response processes on the peaks estimation ISSN : 0733-9399 [article] Peak response of a nonlinear beam [texte imprimé] / Gioffrè, Massimiliano, Auteur ; Vittorio Gusella, Auteur . - 2007 . - pp.963–969. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.963–969. Mots-clés : Beams,  Dynamic  structural  analysis,  Nonlinear  systems,  Dynamic  response  Random  processes  Stochastic  models  Distribution  functions Résumé : A model for estimating the peak dynamic response distribution of a nonlinear beam, based on a special class of non-Gaussian stochastic processes, is proposed in this paper. It is shown that the stochastic response of a cantilever beam with geometrically nonlinear behavior can be accurately calibrated with translation processes. Different models to describe the significant bimodal features in the marginal probability density functions of the response time histories are proposed. Finally, two of these models are used to estimate the response peak value distributions and the results are compared. This comparison demonstrates the effects of inaccurate models for the parent response processes on the peaks estimation ISSN : 0733-9399

Discontinuous bifurcation analysis of a coupled rate-dependent damage and plasticity model for impact responses / Wenqing Hu in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp. 970-980 Titre : Discontinuous bifurcation analysis of a coupled rate-dependent damage and plasticity model for impact responses Type de document : texte imprimé Auteurs : Wenqing Hu, Auteur ; Zhen Chen, Auteur Année de publication : 2007 Article en page(s) : pp. 970-980 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Bifurcations  Coupling  Impact  forces  Plasticity Résumé : To identify the transition from continuous to discontinuous modes in the failure evolution of quasibrittle materials under impact, a coupled rate-dependent damage and plasticity model is developed within the thermodynamics framework. Due to the simplicity in model formulation, a continuum tangent stiffness tensor could be obtained for discontinuous bifurcation analysis, and the model parameters could be calibrated from split Hopkins pressure bar experimental data available. The coupled rate-dependent model could describe not only the pressure-dependent hardening/softening response but also the degradation of material stiffness under impact. A geometric criterion with a corresponding solution scheme is presented to explore the rate-dependent transition from continuous to discontinuous failure modes in the Mohr coordinates. The uniaxial compressive loading path is considered to illustrate the loading rate effect on the critical localization orientation and hardening parameters. It appears from the preliminary results that the coupled rate-dependent local continuum model might be combined with a decohesion model via discontinuous bifurcation analysis so that large-scale simulation of failure evolution could be performed without invoking higher-order spatial terms in the stress-strain space. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160475 [article] Discontinuous bifurcation analysis of a coupled rate-dependent damage and plasticity model for impact responses [texte imprimé] / Wenqing Hu, Auteur ; Zhen Chen, Auteur . - 2007 . - pp. 970-980. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp. 970-980 Mots-clés : Bifurcations  Coupling  Impact  forces  Plasticity Résumé : To identify the transition from continuous to discontinuous modes in the failure evolution of quasibrittle materials under impact, a coupled rate-dependent damage and plasticity model is developed within the thermodynamics framework. Due to the simplicity in model formulation, a continuum tangent stiffness tensor could be obtained for discontinuous bifurcation analysis, and the model parameters could be calibrated from split Hopkins pressure bar experimental data available. The coupled rate-dependent model could describe not only the pressure-dependent hardening/softening response but also the degradation of material stiffness under impact. A geometric criterion with a corresponding solution scheme is presented to explore the rate-dependent transition from continuous to discontinuous failure modes in the Mohr coordinates. The uniaxial compressive loading path is considered to illustrate the loading rate effect on the critical localization orientation and hardening parameters. It appears from the preliminary results that the coupled rate-dependent local continuum model might be combined with a decohesion model via discontinuous bifurcation analysis so that large-scale simulation of failure evolution could be performed without invoking higher-order spatial terms in the stress-strain space. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160475

Structural Health Monitoring and Damage Assessment Using Frequency Response Correlation Criteria / C. Zang in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp. 981-993 Titre : Structural Health Monitoring and Damage Assessment Using Frequency Response Correlation Criteria Type de document : texte imprimé Auteurs : C. Zang, Auteur ; M. I. Friswell, Auteur Année de publication : 2007 Article en page(s) : pp. 981-993 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Assessment  Correlation  Damage  Frequency  response  Structural  health  monitoring Résumé : Two frequency response correlation criteria, namely the global shape correlation (GSC) function and the global amplitude correlation (GAC) function, are established tools to quantify the correlation between predictions from a finite-element (FE) model and measured data for the purposes of FE model validation and updating. This paper extends the application of these two correlation criteria to structural health monitoring and damage detection. In addition, window-averaged versions of the GSC and GAC, namely WAIGSC and WAIGAC, are defined as effective damage indicators to quantify the change in structural response. An integrated method of structural health monitoring and damage assessment, based on the correlation functions and radial basis function neural networks, is proposed and the technique is applied to a bookshelf structure with 24 measured responses. The undamaged and damaged states, single and multiple damage locations, as well as damage levels, were successfully identified in all cases studied. The ability of the proposed method to cope with incomplete measurements is also discussed. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160476 [article] Structural Health Monitoring and Damage Assessment Using Frequency Response Correlation Criteria [texte imprimé] / C. Zang, Auteur ; M. I. Friswell, Auteur . - 2007 . - pp. 981-993. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp. 981-993 Mots-clés : Assessment  Correlation  Damage  Frequency  response  Structural  health  monitoring Résumé : Two frequency response correlation criteria, namely the global shape correlation (GSC) function and the global amplitude correlation (GAC) function, are established tools to quantify the correlation between predictions from a finite-element (FE) model and measured data for the purposes of FE model validation and updating. This paper extends the application of these two correlation criteria to structural health monitoring and damage detection. In addition, window-averaged versions of the GSC and GAC, namely WAIGSC and WAIGAC, are defined as effective damage indicators to quantify the change in structural response. An integrated method of structural health monitoring and damage assessment, based on the correlation functions and radial basis function neural networks, is proposed and the technique is applied to a bookshelf structure with 24 measured responses. The undamaged and damaged states, single and multiple damage locations, as well as damage levels, were successfully identified in all cases studied. The ability of the proposed method to cope with incomplete measurements is also discussed. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160476

Analytical solution of a pressure transmission experiment on shale using electrochemomechanical theory / J. M. Huyghe in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp. 994-1002 Titre : Analytical solution of a pressure transmission experiment on shale using electrochemomechanical theory Type de document : texte imprimé Auteurs : J. M. Huyghe, Auteur Année de publication : 2007 Article en page(s) : pp. 994-1002 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Experimentation  Osmosis  Porous  media  Pressure  Shale  Swelling  (material) Résumé : Analytical solutions are derived for a pressure transmission experiment of a saturated charged compressible porous medium. The governing equations describe infinitesimal deformations of charged porous media saturated with a monovalent ionic solution. From the governing equations a coupled diffusion equation is derived for the three electrochemical potentials, which is decoupled introducing a set of normal parameters. The magnitude of the eigenvalues of the diffusivity matrix corresponds to the time scales for Darcy flow, diffusion of ionic constituents, and diffusion of electrical potential. The radial strain is very sensitive to the ionization. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160477 [article] Analytical solution of a pressure transmission experiment on shale using electrochemomechanical theory [texte imprimé] / J. M. Huyghe, Auteur . - 2007 . - pp. 994-1002. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp. 994-1002 Mots-clés : Experimentation  Osmosis  Porous  media  Pressure  Shale  Swelling  (material) Résumé : Analytical solutions are derived for a pressure transmission experiment of a saturated charged compressible porous medium. The governing equations describe infinitesimal deformations of charged porous media saturated with a monovalent ionic solution. From the governing equations a coupled diffusion equation is derived for the three electrochemical potentials, which is decoupled introducing a set of normal parameters. The magnitude of the eigenvalues of the diffusivity matrix corresponds to the time scales for Darcy flow, diffusion of ionic constituents, and diffusion of electrical potential. The radial strain is very sensitive to the ionization. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160477

Squeeze flow of viscoplastic cement-based extrudate / Zongjin Li in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp. 1003-1008 Titre : Squeeze flow of viscoplastic cement-based extrudate Type de document : texte imprimé Auteurs : Zongjin Li, Auteur ; Xiangyu Li, Auteur Année de publication : 2007 Article en page(s) : pp. 1003-1008 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Cement  Flow  Strain  rates  Viscoplasticity Résumé : In this study, squeeze flow of viscoplastic cement-based extrudate has been investigated and a solution for the squeeze force as a function of the squeezing speed and other material parameters derived. The viscoplastic strain rates are obtained from the associated flow rule, which relates the strain rate to deviatoric stress through the coaxiality relation. For simplicity, the elastic response is neglected. The parameter study has shown that the upsetting process of cement-based extrudate can be predicted by the solution. The computed results have been used to compare with results of experiments conducted upon viscoplastic paste material. A reasonable agreement is observed. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160478 [article] Squeeze flow of viscoplastic cement-based extrudate [texte imprimé] / Zongjin Li, Auteur ; Xiangyu Li, Auteur . - 2007 . - pp. 1003-1008. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp. 1003-1008 Mots-clés : Cement  Flow  Strain  rates  Viscoplasticity Résumé : In this study, squeeze flow of viscoplastic cement-based extrudate has been investigated and a solution for the squeeze force as a function of the squeezing speed and other material parameters derived. The viscoplastic strain rates are obtained from the associated flow rule, which relates the strain rate to deviatoric stress through the coaxiality relation. For simplicity, the elastic response is neglected. The parameter study has shown that the upsetting process of cement-based extrudate can be predicted by the solution. The computed results have been used to compare with results of experiments conducted upon viscoplastic paste material. A reasonable agreement is observed. ISSN : 0733-9399 En ligne : http://cedb.asce.org/cgi/WWWdisplay.cgi?160478

Structural engineering with NiTi . I in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.1009–1018. Titre : Structural engineering with NiTi . I : basic materials characterization Type de document : texte imprimé Année de publication : 2007 Article en page(s) : pp.1009–1018. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Shape  memory  effect  Structures  Material  tests  Material  properties  Microstructure  Earthquake  engineering Résumé : The overarching goal of this two-part paper is to provide a more unified understanding of NiTi shape memory alloys intended for use in structural engineering applications. Here, we present results from basic materials characterization of large diameter polycrystalline NiTi bars. Deformation processed bars with diameters of 12.7, 19.1, and 31.8mm and various heat treatments were characterized at multiple length scales. Transmission electron microscopy revealed a nanometer scale precipitate structure present in the heat-treated, but not as-received bars. Spatial crystallographic texture measurements performed with electron backscatter diffraction, reveal a ⟨111⟩ texture along the longitudinal bar drawing axis in the majority of the bar, with a secondary longitudinal ⟨110⟩ component near the center of the bars. The prominence of the ⟨110⟩ texture increases with decreasing bar diameter or increasing percentage of deformation processing. Transformation temperatures and hardness were measured on samples extracted from the bars and are shown to depend strongly on bar heat treatment, but not bar diameter. The fine coherent precipitate structure induced during low temperature aging places transformation temperatures in the pseudoelastic range at room temperature and can be used to tailor material hardness. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A9%2810 [...] [article] Structural engineering with NiTi . I : basic materials characterization [texte imprimé] . - 2007 . - pp.1009–1018. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.1009–1018. Mots-clés : Shape  memory  effect  Structures  Material  tests  Material  properties  Microstructure  Earthquake  engineering Résumé : The overarching goal of this two-part paper is to provide a more unified understanding of NiTi shape memory alloys intended for use in structural engineering applications. Here, we present results from basic materials characterization of large diameter polycrystalline NiTi bars. Deformation processed bars with diameters of 12.7, 19.1, and 31.8mm and various heat treatments were characterized at multiple length scales. Transmission electron microscopy revealed a nanometer scale precipitate structure present in the heat-treated, but not as-received bars. Spatial crystallographic texture measurements performed with electron backscatter diffraction, reveal a ⟨111⟩ texture along the longitudinal bar drawing axis in the majority of the bar, with a secondary longitudinal ⟨110⟩ component near the center of the bars. The prominence of the ⟨110⟩ texture increases with decreasing bar diameter or increasing percentage of deformation processing. Transformation temperatures and hardness were measured on samples extracted from the bars and are shown to depend strongly on bar heat treatment, but not bar diameter. The fine coherent precipitate structure induced during low temperature aging places transformation temperatures in the pseudoelastic range at room temperature and can be used to tailor material hardness. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A9%2810 [...]

Structural engineering with NiTi . II / Jason McCormick in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.1019–1029. Titre : Structural engineering with NiTi . II : mechanical behavior and scaling Type de document : texte imprimé Auteurs : Jason McCormick, Auteur ; Jeff Tyber, Auteur ; Reginald DesRoches, Auteur Année de publication : 2007 Article en page(s) : pp.1019–1029. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Shape  memory  effect,  Structures,  Material  tests,  Material  properties  Mechanical  properties  Cyclic  tests  Earthquake  engineering Résumé : This paper continues to address the overarching goal to provide a more unified understanding of NiTi shape memory alloys intended for use in structural applications by attempting to link standard processing practice and basic materials characterization to the deformation behavior of large diameter bars. Results from cyclic tensile tests performed on large diameter Ni-rich polycrystalline NiTi bars are presented. Coupon specimens taken from deformation processed bars with diameters of 12.7, 19.1, and 31.8mm are tested along with their respective full-scale specimens. The coupon tests results reveal small and highly variable differences between specimens taken from the different size bars. The full-scale specimen tests continue to show the presence of the R phase, but lack a Lüders-like transformation. A comparison of the results suggests that coupon specimens provide only limited information in terms of the full-scale behavior. Full-scale tests using an earthquake-type loading then show similar behavior to the tensile cyclic tests suggesting the ability to use NiTi in structural applications. Overall, this paper and Tyber et al. 2007 provide a multiscale analysis of NiTi shape memory alloys to be used by both material scientist and civil engineers in the development of applications for NiTi. ISSN : 0733-9399 En ligne : http://ascelibrary.org/action/showAbstract?page=1019&volume=133&issue=9&journalC [...] [article] Structural engineering with NiTi . II : mechanical behavior and scaling [texte imprimé] / Jason McCormick, Auteur ; Jeff Tyber, Auteur ; Reginald DesRoches, Auteur . - 2007 . - pp.1019–1029. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.1019–1029. Mots-clés : Shape  memory  effect,  Structures,  Material  tests,  Material  properties  Mechanical  properties  Cyclic  tests  Earthquake  engineering Résumé : This paper continues to address the overarching goal to provide a more unified understanding of NiTi shape memory alloys intended for use in structural applications by attempting to link standard processing practice and basic materials characterization to the deformation behavior of large diameter bars. Results from cyclic tensile tests performed on large diameter Ni-rich polycrystalline NiTi bars are presented. Coupon specimens taken from deformation processed bars with diameters of 12.7, 19.1, and 31.8mm are tested along with their respective full-scale specimens. The coupon tests results reveal small and highly variable differences between specimens taken from the different size bars. The full-scale specimen tests continue to show the presence of the R phase, but lack a Lüders-like transformation. A comparison of the results suggests that coupon specimens provide only limited information in terms of the full-scale behavior. Full-scale tests using an earthquake-type loading then show similar behavior to the tensile cyclic tests suggesting the ability to use NiTi in structural applications. Overall, this paper and Tyber et al. 2007 provide a multiscale analysis of NiTi shape memory alloys to be used by both material scientist and civil engineers in the development of applications for NiTi. ISSN : 0733-9399 En ligne : http://ascelibrary.org/action/showAbstract?page=1019&volume=133&issue=9&journalC [...]

Tilting analysis of rectangular elastic layers bonded between rigid plates / Hsiang-Chuan Tsai in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.1030–1036. Titre : Tilting analysis of rectangular elastic layers bonded between rigid plates Type de document : texte imprimé Auteurs : Hsiang-Chuan Tsai, Auteur Année de publication : 2007 Article en page(s) : pp.1030–1036. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Base  isolation  Bonding  Elastic  analysis  Elastome  Plates Résumé : A theoretical approach to determine the tilting stiffness of a rectangular elastic layer bonded between two rigid plates is presented. On the basis of two kinematics assumptions, the governing equation for the mean pressure is derived from the equilibrium equations. Using the approximate shear boundary condition, the mean pressure is solved and the tilting stiffness of the bonded rectangular layer is then established in an explicit single-series form. Whereas the finite element method can be applied to calculate the stiffness, the series solution provides a convenient way for parametric studies. Through the obtained pressure expressions, the horizontal displacements are derived from the corresponding equilibrium equations, from which the shear traction on the bonding surface can be found. The error of using the approximate shear boundary condition is negligible for the tilting stiffness, but becomes significant for the horizontal displacements and bonding shear stresses near the edges of the rectangular layers. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A9%2810 [...] [article] Tilting analysis of rectangular elastic layers bonded between rigid plates [texte imprimé] / Hsiang-Chuan Tsai, Auteur . - 2007 . - pp.1030–1036. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.1030–1036. Mots-clés : Base  isolation  Bonding  Elastic  analysis  Elastome  Plates Résumé : A theoretical approach to determine the tilting stiffness of a rectangular elastic layer bonded between two rigid plates is presented. On the basis of two kinematics assumptions, the governing equation for the mean pressure is derived from the equilibrium equations. Using the approximate shear boundary condition, the mean pressure is solved and the tilting stiffness of the bonded rectangular layer is then established in an explicit single-series form. Whereas the finite element method can be applied to calculate the stiffness, the series solution provides a convenient way for parametric studies. Through the obtained pressure expressions, the horizontal displacements are derived from the corresponding equilibrium equations, from which the shear traction on the bonding surface can be found. The error of using the approximate shear boundary condition is negligible for the tilting stiffness, but becomes significant for the horizontal displacements and bonding shear stresses near the edges of the rectangular layers. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A9%2810 [...]

Probability density and excursions of structural response to imperfectly periodic excitation / M. F. Dimentberg in Journal of engineering mechanics, Vol. 133 N°9 (Septembre 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.1037–1041. Titre : Probability density and excursions of structural response to imperfectly periodic excitation Type de document : texte imprimé Auteurs : M. F. Dimentberg, Auteur ; E. Mo, Auteur ; Arvid Naess, Auteur Année de publication : 2007 Article en page(s) : pp.1037–1041. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Random  processes  Vibration  Probability  density  functions  Structural  response Résumé : A single-degree-of-freedom system under periodic excitation with random phase modulation is considered. Probability density functions (PDF) of the response are obtained numerically using the path integration method. Basic results are presented in the form of expected number of excursions over a given displacement level. They clearly illustrate the transformation of the response PDF with increasing excitation/system bandwidth ratio from one corresponding to the sinusoid with random phase at small values to asymptotically Gaussian PDF at high values of the above ratio. While this qualitative trend is known from previous analysis of the response excess factor by the method of moments, the present quantitative results may be of direct use for reliability predictions. An analytical study is also made for reduced stochastic differential equations of motion, as obtained by stochastic averaging, by the method of moments resulting in a simple explicit expression for the mean square amplitude. ISSN : 0733-9399 En ligne : http://ascelibrary.org/action/showAbstract?page=1037&volume=133&issue=9&journalC [...] [article] Probability density and excursions of structural response to imperfectly periodic excitation [texte imprimé] / M. F. Dimentberg, Auteur ; E. Mo, Auteur ; Arvid Naess, Auteur . - 2007 . - pp.1037–1041. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°9 (Septembre 2007) . - pp.1037–1041. Mots-clés : Random  processes  Vibration  Probability  density  functions  Structural  response Résumé : A single-degree-of-freedom system under periodic excitation with random phase modulation is considered. Probability density functions (PDF) of the response are obtained numerically using the path integration method. Basic results are presented in the form of expected number of excursions over a given displacement level. They clearly illustrate the transformation of the response PDF with increasing excitation/system bandwidth ratio from one corresponding to the sinusoid with random phase at small values to asymptotically Gaussian PDF at high values of the above ratio. While this qualitative trend is known from previous analysis of the response excess factor by the method of moments, the present quantitative results may be of direct use for reliability predictions. An analytical study is also made for reduced stochastic differential equations of motion, as obtained by stochastic averaging, by the method of moments resulting in a simple explicit expression for the mean square amplitude. ISSN : 0733-9399 En ligne : http://ascelibrary.org/action/showAbstract?page=1037&volume=133&issue=9&journalC [...]

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