Relevant bibliographies by topics / Winkler and Pasternak models

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Winkler and Pasternak models'

Author: Grafiati
Published: 7 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "Winkler and Pasternak models"

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Muradova, Aliki D., and Georgios E. Stavroulakis. "Nonlinear Time Spectral Analysis for a Dynamic Contact Model with Buckling for an Elastic Plate." Key Engineering Materials 618 (July 2014): 227–39. http://dx.doi.org/10.4028/www.scientific.net/kem.618.227.

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In the present paper a dynamic nonlinear model with contact and buckling for an elasticplate is considered. The model consists of two coupled nonlinear hyperbolic type partial differentialequations. The plate is subjected to compressive and/or tensile moving loads on its edges. The foundationsare nonlinear elastic Winkler and Pasternak models. The initial-boundary value problems forthe model are solved with the use of the time spectral method for spatial discretization and after thediscretization the Newmark- time-stepping iterative scheme for the obtained system of nonlinear ordinarydifferent
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KOZEL, Anastasiya G. "COMPARISON OF SOLUTIONS TO THE BENDING PROBLEMS OF THREE-LAYER PLATES ON THE WINKLER AND PASTERNAK FOUNDATIONS." Mechanics of Machines, Mechanisms and Materials 1, no. 54 (2021): 30–37. http://dx.doi.org/10.46864/1995-0470-2021-1-54-30-37.

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Solutions of problems on axisymmetric bending of an elastic three-layer circular plate on the Winkler and Pasternak foundations are given. The bearing layers are taken as isotropic, for which Kirchhoff’s hypotheses are fulfilled. In a sufficiently thick lightweight, incompressible in thickness aggregate, the Timoshenko model is valid. The cylindrical coordinate system, in which the statements and solutions of boundary value problems are carried out, is connected with the median plane of the filler. On the plate contour, it is assumed that there is a rigid diaphragm that prevents the relative s
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Arani, Ali Ghorbanpour, Reza Kolahchi, Ali Akbar Mosallaie Barzoki, Mohammad Reza Mozdianfard, and S. Mosatafa Noudeh Farahani. "Elastic foundation effect on nonlinear thermo-vibration of embedded double-layered orthotropic graphene sheets using differential quadrature method." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227, no. 4 (2012): 862–79. http://dx.doi.org/10.1177/0954406212453808.

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In this article, transverse nonlinear vibration of orthotropic double-layered graphene sheets embedded in an elastic medium (spring and shear constants of the Winkler and Pasternak models) under thermal gradient is studied using nonlocal elasticity orthotropic plate theory. The equations of motion are derived based on application of Hamilton’s principles. These are coupled, two-dimensional and time-dependent equations, which cannot be solved analytically due to their nonlinear terms. Hence, differential quadrature method is employed to solve the governing differential equations for the two bou
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Ghannadiasl, Amin, and Hassan Rezaei Dolagh. "Vibration Response of Timoshenko Beam-Foundation Interaction Model under Accelerated Moving Load." Mathematical Problems in Engineering 2022 (August 17, 2022): 1–10. http://dx.doi.org/10.1155/2022/3979604.

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Simulation of an infinite Timoshenko beam subjected to accelerated moving load rested on the finite depth is assessed in this study. Then, the dynamic response of the infinite beam is illustrated on the various theoretical models, including the Winkler, Pasternak, and visco-elastic foundations. Furthermore, the effects of various damping, such as foundation damping, beam damping, and hysteretic damping (damping between soil grains), are also studied on the dynamic behavior of the beam. It has been worked out that the type of basement and its depth have a remarkable effect on the dynamic behavi
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Wani, Khair ul Faisal, and K. Nallasivam. "Static and free vibration analysis on rigid pavement resting on Winkler and Pasternak foundation." Structural Integrity and Life 24, no. 1 (2024): 49–60. http://dx.doi.org/10.69644/ivk-2024-01-0049.

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The main aim of this study is to find out the static and modal response of the rigid pavement resting on different soil models subjected to aircraft loading. The FEM employed in this work is validated by a closed-form numerical problem, which is in great accord with previous research findings with a maximum divergence of 1.76 %. Furthermore, it has been investigated how the static response and cyclic frequency change as a result of variations in the thickness and span length of pavement, the modulus of the subgrade, different boundary conditions, and element discretization. Limited previous re
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Veselý, Jakub, and Vít Šmilauer. "Hygro-mechanical model for concrete pavement with long-term drying analysis." Acta Polytechnica CTU Proceedings 40 (July 24, 2023): 104–10. http://dx.doi.org/10.14311/app.2023.40.0104.

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Concrete pavements are subjected to the combination of moisture transport, heat transport and traffic loading. A hygro-mechanical 3D finite element model was created in OOFEM software in order to analyse the stress field and deformed shape from a long-term non-uniform drying. The model uses a staggered approach, solving moisture transfer weakly coupled with MPS viscoelastic model for ageing concrete creep and shrinkage. Moisture transport and mechanical sub-models are calibrated with lab experiments, long-term monitoring on D1 highway and data from 40 year old highway pavement. The slab geomet
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Contreras, Juan, and Genner Villarreal Castro. "Interacción Suelo-Estructura de una edificación con losa de cimentación con los modelos estáticos de Winkler y Pasternak." Memoria Investigaciones en Ingeniería, no. 28 (July 22, 2025): 71–84. https://doi.org/10.36561/ing.28.7.

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Winkler y Pasternak establecieron que la interacción suelo estructura entre la base de una estructura y el suelo de cimentación, se puede idealizar como un conjunto de resortes de rigidez que se desplazan como resultado de la carga aplicada sobre su superficie (Ubani, 2022). El aporte de los modelos estáticos es la incorporación de las propiedades dinámicas del suelo mediante modelos de comportamiento elástico lineal del suelo, facilitando los procedimientos de cálculo en función a las propiedades mecánicas obtenidas del estrato del suelo de fundación. Mediante la incorporación de los coeficie
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Studziński, Robert. "Analytical Models of Axially Loaded Blind Rivets Used with Sandwich Beams." Energies 14, no. 3 (2021): 579. http://dx.doi.org/10.3390/en14030579.

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The paper presents the novel use of analytical models of a beam on an elastic foundation. The one-parameter model (Winkler model) and the two-parameter models (Filonenko-Borodich and Pasternak models) were investigated. These models were used to describe the elastic response of axially loaded blind rivets used with sandwich structures. The elastic response related to the elastic strain energy is mentioned in the paper as the resilience modulus of the connection. The databases from laboratory pull-out tests were used to verify these models. One type of blind rivet (aluminum, with three clamping
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Trien, Trang Tan, Le Thanh Phong, and Pham Tan Hung. "Isogeometric free vibration of the porous metal foam plates resting on an elastic foundation using a quasi-3D refined theory." Journal of Science and Technology in Civil Engineering (JSTCE) - HUCE 19, no. 1 (2025): 119–30. https://doi.org/10.31814/stce.huce2025-19(1)-10.

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This study investigates the free vibration behavior of porous metal foam plates using the Quasi-3D refined plate theory. We consider three types of pores across the plate thickness: uniform, symmetric, and asymmetric distributions. Besides, the metal foam plate is reinforced by a Winkler-Pasternak foundation. By employing the variational principle and Quasi-3D refined theory, we derive the weak form for free vibration analysis. The Quasi-3D theory is essential for analyzing plates, as it accurately captures transverse shear and normal deformations, which are vital for understanding the behavio
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Nemati, A. R., and M. J. Mahmoodabadi. "Effect of micromechanical models on stability of functionally graded conical panels resting on Winkler–Pasternak foundation in various thermal environments." Archive of Applied Mechanics 90, no. 5 (2019): 883–915. http://dx.doi.org/10.1007/s00419-019-01646-6.

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Dissertations / Theses on the topic "Winkler and Pasternak models"

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Tonzani, Giulio Maria. "Free Vibrations Analysis of Timoshenko Beams on Different Elastic Foundations via Three Alternative Models." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017.

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The scope of the research is to provide a simpler and more consistent equation for the analysis of the natural frequencies of a beam with respect to the widely used one introduced by Timoshenko in 1916. To this purpose, the free vibrations of a beam resting on Winkler or/and Pasternak elastic foundations are analyzed via original Timoshenko theory as well as two of its truncated versions, which have been proposed by Elishakoff in recent years to overcome the mathematical difficulties associated with the fourth-order time derivative of the deflection. Former equation takes into account for both
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Basmaji, Bakri. "Développement d’un modèle analytique d’interaction sol-structure pour l'étude du comportement mécanique des structures soumises à un mouvement de terrain : influence des déformations de cisaillement et de la plasticité." Thesis, Université de Lorraine, 2016. http://www.theses.fr/2016LORR0290/document.

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Ce travail s'inscrit dans la continuité des travaux de recherche menés au laboratoire Géoressources (Ecole des Mines de Nancy) et à l'INERIS depuis plusieurs années. Il concerne l’évaluation de la vulnérabilité des ouvrages situés dans des zones de mouvement de terrains d’origine naturelle ou anthropique. L’objectif de la thèse est de développer un modèle analytique permettant l’évaluation du tassement différentiel d’un ouvrage soumis à un mouvement de terrain et de calculer le taux de transmission de ces mouvements en fonction de la rigidité relative de l’ouvrage. Le modèle d’interaction sol-
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Kulich, Pavel. "Dynamická analýza koleje." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2017. http://www.nusl.cz/ntk/nusl-265372.

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The diploma thesis deals with analytical description of vehicle - track dynamic interface. There are described basic analytical models which are subsequently extended in order to get a more precise description of dynamic phenomena. The aim is to compile a model that faithfully describes the dynamic phenomena in the track. These new compiled models are qualitatively compared with data obtained by measuring in the track.
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Kaindl, Johanna [Verfasser], Jürgen [Akademischer Betreuer] Winkler, Jürgen [Gutachter] Winkler, and Dieter [Gutachter] Engelkamp. "Advances in human stem cell-based disease models of neurodegeneration / Johanna Kaindl ; Gutachter: Jürgen Winkler, Dieter Engelkamp ; Betreuer: Jürgen Winkler." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2021. http://d-nb.info/1232496995/34.

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Batihan, Ali Cagri. "Vibration Analysis Of Cracked Beams On Elastic Foundation Using Timoshenko Beam Theory." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613602/index.pdf.

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In this thesis, transverse vibration of a cracked beam on an elastic foundation and the effect of crack and foundation parameters on transverse vibration natural frequencies are studied. Analytical formulations are derived for a beam with rectangular cross section. The crack is an open type edge crack placed in the medium of the beam and it is uniform along the width of the beam. The cracked beam rests on an elastic foundation. The beam is modeled by two different beam theories, which are Euler-Bernoulli beam theory and Timoshenko beam theory. The effect of the crack is considered by represent
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Froio, Diego (ORCID:0000-0003-1824-5682). "Structural Dynamics Modelization of One-Dimensional Elements on Elastic Foundations under Fast Moving Load." Doctoral thesis, Università degli studi di Bergamo, 2018. http://hdl.handle.net/10446/105179.

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The structural dynamics analysis of one-dimensional elements (strings, beams) on continuous elastic support under high-velocity moving load is the main subject of the present doctoral dissertation. Two main types of mechanical systems have been considered, of a finite and of an infinite extension. Through ad hoc formulations and autonomous implementations, physical dynamic response characteristics of taut string/beam-foundation systems are revealed by virtue of analytical and numerical approaches, both in the linear and in the nonlinear regimes. First, two explicit closed-form analytical sol
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Books on the topic "Winkler and Pasternak models"

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Snodgrass, Mary Ellen. Beating the Odds. Greenwood Publishing Group, Inc., 2008. http://dx.doi.org/10.5040/9798400617102.

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Many famous people have overcome difficult circumstances and gone on to become successful in their fields. This book profiles the lives of 75 courageous and persistent people who have triumphed over adversity. These individuals have conquered a range of problems, including physical, psychological, social, and economic handicaps. Individuals profiled come from a range of professions and reflect battles against religious prejudice, medical conditions, eating disorders, poverty, and other social ills. Among the people profiled are Mitch Albom, Hillary Clinton, Magic Johnson, Stephen King, Greg Lo
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Book chapters on the topic "Winkler and Pasternak models"

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Herisanu, Nicolae, and Vasile Marinca. "Free Oscillations of Euler-Bernoulli Beams on Nonlinear Winkler-Pasternak Foundation." In Springer Proceedings in Physics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69823-6_5.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Free Oscillations of Euler–Bernoulli Beams on Nonlinear Winkler-Pasternak Foundation." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_5.

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Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "The Nonlinear Thermomechanical Vibration of a Functionally Graded Beam (FGB) on Winkler-Pasternak Foundation." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_11.

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Hassa, Mustapha, Ahmed Adri, Yassine El Khouddar, Adil Ziraoui, and Rhali Benamar. "Modeling the Free Transverse Vibrations of a Structure Consisting of Two Beams Elastically Coupled by Double Mass-Spring Systems on a Winkler-Pasternak Foundation." In Lecture Notes in Networks and Systems. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-90735-7_10.

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Wen, P. H., and M. H. Aliabadi. "Laplace domain boundary element method for Winkler and Pasternak foundation thick plates." In Recent Developments in Boundary Element Methods. WIT Press, 2010. http://dx.doi.org/10.2495/978-1-84564-492-5/24.

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Mura, I., and P. Manca. "Study of circular plates on an elastic nonlinearWinkler-Pasternak-type foundation with the Chebyshev series method." In Numerical Models in Geomechanics. Taylor & Francis, 2004. http://dx.doi.org/10.1201/9781439833780.ch41.

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Kenney, E. J. "Psyche and her Mysterious Husband." In Antonine Literature. Oxford University PressOxford, 1990. http://dx.doi.org/10.1093/oso/9780198140573.003.0007.

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Abstract John J. Winkler has argued that the title conventionally given to Apuleius, Metamorphoses, 4. 28-6. 24 ‘is fundamentally abu sive to the narrative technique of the tale’, which is (in part at all events) a detective story in which the identity of Psyche’s husband is not revealed explicitly until she takes the lamp to him. It is true that a reader skilled in deciphering literary riddles and conversant with Apuleius’ poetic models ought to have little difficulty in putting a name to the cruel, wild, winged being described by the oracle, before whom Jove, the gods, and the Underworld its
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Lohar, Hareram, Anirban Mitra, and Sarmila Sahoo. "Effect of Boundary Conditions and Taper Patterns on Geometrically Nonlinear Frequency Response of Axially Graded Beams on Elastic Foundation." In Handbook of Research on Advancements in Manufacturing, Materials, and Mechanical Engineering. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-4939-1.ch006.

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Forced vibration analysis is performed on a tapered axially functionally graded beam resting on elastic foundation under externally applied harmonic excitations to present the effect of boundary conditions and taper patterns on the frequency response. The elastic foundation is modelled in the present analysis as Winkler foundation. A displacement based semi-analytical method is adopted for mathematical formulation and the derivation of governing equations is carried out following Hamilton's principle. Von Karman nonlinear strain-displacement relation employed to incorporate geometric nonlinear
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Jagodnik, V., G. Jelenić, and Ž. Arbanas. "The mixed-type approach to finite-element analysis of geometrically linear beams resting on linear and non-linear Winkler soil models." In Numerical Methods in Geotechnical Engineering. CRC Press, 2014. http://dx.doi.org/10.1201/b17017-45.

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Ge, Zhaocheng, Hanping Hu, and Tengfei Zhao. "Towards Trustworthy NLP: An Adversarial Robustness Enhancement Based on Perplexity Difference." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2023. http://dx.doi.org/10.3233/faia230347.

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The vulnerability of artificial intelligence has emerged as a bottleneck, with adversarial attacks posing a significant threat to natural language processing. Although multiple defense mechanisms have been proposed, they often suffer from strict constraints, weak generalization, and low scalability. To address these challenges, we propose leveraging perplexity to quantify the difference between clean and adversarial examples based on the observation of numerous cases. We then statistically prove the substantial difference between them using Bayesian hypothesis testing. Subsequently, we develop
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Conference papers on the topic "Winkler and Pasternak models"

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Askari, Hassan, and Ebrahim Esmailzadeh. "Nonlinear Vibration of Carbon Nanotube Resonators Considering Higher Modes." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46860.

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Nonlinear forced vibration of the carbon nanotubes based on the Euler-Bernoulli beam theory is studied. The Euler-Bernoulli beam theory is implemented to find the governing equation of the vibrations of the carbon nanotube. The Pasternak and Nonlinear Winkler foundation is assumed for the objective system. It is supposed that the system is supported by hinged-hinged boundary conditions. The Galerkin procedure is employed in order to find the nonlinear ordinary differential equation of the vibration of the objective system considering two modes of vibrations. The primary and secondary resonant
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de Almeida Barros, Persio Leister, Renato Pavanello, Euclides Mesquita, and Celso Kazuyuki Morooka. "SCR-Seafloor Interaction Modeling With Winkler, Pasternak and Kerr Beam-on-Elastic-Foundation Theories." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79459.

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This paper discusses the use of three analytical models for the SCR-soil interaction analysis. Analytical derivations for Winkler, Pasternak and Kerr models are presented. The effects of the adopted model on displacements and stresses near the riser touchdown point are addressed. Comparisons with the results from a continuous soil model calculated with finite elements are also presented. In the regions with large displacement gradients, the Kerr model, which considers the influence of the elasticity from neighboring area, presents the best agreement with the 3D Finite Element model.
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Sowinski, Bogdan, and Jozef Drozdziel. "Infinite Beams as Models of Track Transient Vibrations." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60918.

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In the paper, an attempt to build solution of transient vibrations of railway track is presented. Excitations in this system generated by track structure, treated roughly as periodic ones, are often disturbed by track transient imperfections. Obtained solutions are based on Ritz-Galerkin method and then on Hermite’s polynomials application to the problem. Such a model doesn’t require a lot of computing and can be easily adapted e.g. for nonlinear track model. Our approach can take continuous foundation of Winkler or Pasternak layer type, or discrete rail support. For discrete not equi-spaced s
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Mullapudi, T. Ravi S., and Ashraf Ayoub. "Soil Structure Interaction Through Two Parameter Foundation." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20055.

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Beams on foundations and piles resisting by surrounding soil are significantly complex due to the behavior of the surrounding semi-infinite soil media. Winkler’s model is the simplest element that account for the behavior of both the foundation and soil. The Winkler model is the one-parameter model which assumes the foundation reaction at a particular point is proportional to the soil displacement. Most of the existing elements assume the soil to be tensionless or even elastic. In reality, the soil cohesiveness plays an important role in the behavior of foundation elements. In this paper a new
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Tornabene, F. "Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions." In AIMETA 2022. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902431-20.

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Abstract. In the present work, a two-dimensional model based on a higher order Layer-Wise (LW) approach is presented for the static and dynamic analysis of doubly-curved anisotropic shell structures. The Equivalent Single Layer (ESL) methodology is also obtained as particular case of LW. Each lamina of the stacking sequence is modelled as an anisotropic continuum. The fundamental equations account for both surface and concentrated loads, as well as the effects of the Winkler-Pasternak foundation. Moreover, non-conventional boundary conditions are introduced, and the numerical solution is asses
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Veselý, Jakub, Petr Pánek, and Ludvík Vébr. "Thermo – mechanical model of concrete pavement in hardening phasis." In 6th International Conference on Road and Rail Infrastructure. University of Zagreb Faculty of Civil Engineering, 2021. http://dx.doi.org/10.5592/co/cetra.2020.1032.

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This paper is focused on the analysis of concrete pavements using finite element method (FEM). Specifically, it deals with the analysis of temperatures in the initial phasis of hardening and their influence on mechanical behavior of concrete pavement. High temperatures from hydration and climatic conditions in the early phase of concrete hardening co-operate and may initiate the formation of a network of micro-cracks on the surface of the concrete slab. The resulting temperatures (from hydration and climate) can theoretically be positively influenced by determining the start of concreting, so
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Askari, Hassan, Ebrahim Esmailzadeh, and Davood Younesian. "Dynamic Behavior of Carbon Nanotubes Using Nonlocal Rayleigh Beam." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35420.

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Forced vibration of carbon nanotubes based on the Rayleigh beam theory in conjunction with Eringen’s nonlocal elasticity is investigated. The governing equation of vibration of carbon nanotube using the above theories is developed. The carbon nanotube is rested on a nonlinear Winkler and Pasternak foundation with the simply-supported boundary conditions. The Gelerkin procedure is utilized to find the nonlinear ordinary differential equation of vibration of system. The differential equation is solved using the multiple scales method in order to investigate the primary resonance of the considere
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Yiqian, Yang, Zhang Duan, Zhou Hongye, Ma Hezhong, and Wang Tsunkuei. "Nonlinear Dynamic Snap-Through Buckling of Composite Laminated Spherical Shells." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-1194.

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Abstract In this paper, a general, strain-consistent, third-order displacement field of shells is proposed. On this basis, the nonlinear theory of composite laminated shells including third-order transverse shear deformation and rotary inertia is developed. Hamilton’s variational principle is used to derive the nonlinear static and dynamic governing differential equations and the corresponding boundary conditions of composite laminated anisotropic general shells under the orthogonal curvilinear coordinates. And the form of spherical shells is degenerated. The model accounts for the cubic varia
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Adair, Desmond, Zhantileu Segizbayev, Xueyu Geng, and Martin Jaeger. "Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation." In 2018 IEEE 13th Annual International Conference on Nano/Micro Engineered and Molecular Systems (NEMS). IEEE, 2018. http://dx.doi.org/10.1109/nems.2018.8556885.

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Mohammadi, Meisam, A. R. Saidi, and Mehdi Mohammadi. "Buckling Analysis of Thin Functionally Graded Rectangular Plates Resting on Elastic Foundation." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24594.

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In the present article, the buckling analysis of thin functionally graded rectangular plates resting on elastic foundation is presented. According to the classical plate theory, (Kirchhoff plate theory) and using the principle of minimum total potential energy, the equilibrium equations are obtained for a functionally graded rectangular plate. It is assumed that the plate is rested on elastic foundation, Winkler and Pasternak elastic foundations, and is subjected to in-plane loads. Since the plate is made of functionally graded materials (FGMs), there is a coupling between the equations. In or
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