In this work, a comprehensive vibrational behavior analysis is performed on anti-symmetric laminated composite plates resting visco-elastic foundations undergoing thermal effects. Here, the governing equations of motion are developed through Hamilton's principle and Reddy's plate theory as higher-order shear deformation (HSDT) employed to capture high accuracy. Also, generalized differential qu...

In the present work, thermo-electro vibration of the piezoelectric nanoplates resting on the elastic foundations using nonlocal elasticity theory are considered. In-plane and transverse displacements of the nanoplate have been approximated by six different modified shear deformation plate theories considering transverse shear deformation effects and rotary inertia. Moreover, two new distributio...

Simulation of complex cloth-like visco-elastic materials is a hot topic today as more and more fields of application are discovered in research and industry. Theoretical foundations are needed to describe the non-linear physical properties of a material and to introduce its simulation with the desired accuracy and runtime characteristics. Particle based mass-spring models and semi-implicit inte...

The basic step in the substructure approach based on discretization of the soil medium for the soil–structure interaction problems is to determine the impedance functions which are defined as the complex dynamic-stiffness coefficients of the soil-footing system are used in the analysis of foundations vibrations. In this study, the discrete values of impedance functions over wide ranges of frequ...

The damage mesomodel for laminates (DML) has been developed over last 15 years, particularly at LMT-Cachan [1]. The DML is based on three foundations: 1) Mesoscale – the intermediate scale between the structure (macro) and constituent (fibre, matrix) level degradation mechanisms (micro), 2) internal variable approach – which relates the damage by the degradation of the elastic moduli and 3) Met...

This paper discusses theoretical foundations of quantitative image-based measurements for extracting and reconstructing geometric, kinematic and dynamic properties of observed objects. New results are obtained by using a combination of methods in perspective geometry, differential geometry, radiometry, kinematics and dynamics. Specific topics include perspective projection transformation, persp...

Seismic-protection measures make it possible to significantly decrease economical losses. Seismic shock absorption systems and seismic insulation of foundations and buildings can generally increase the reliability of structures. Calculations by Ja. M. Ajzenberg showed that relative horizontal seismic shifts of floors in seismically insulated buildings are significantly lower than in noninsulate...

This paper addresses some questions arising from an integration of coupling structural models and p-version nite element methods. After a brief introduction to the p-version for Reissner-Mindlin plate problems we will consider the modelling of loads or elastic foundations acting only on parts of elements. Furthermore we will address the question of a posteriori control of the accuracy of the ap...

Abstract This article addresses the existence and uniqueness of solution for fully fourth-order differential equations modeling beams on elastic foundations with nonlinear boundary conditions. The proof will rely Perov’s fixed point theorem in complete generalized metric spaces to overcome problems due presence all lower-order derivatives nonlinearity. Finally, some illustrating examples theory...

In this paper, the first-order shear deformation theory is used to derive theoretical formulations illustrating the nonlinear dynamic response of functionally graded porous plates under thermal and mechanical loadings supported by Pasternak’s model of the elastic foundation. Two types of porosity including evenly distributed porosities (Porosity-I) and unevenly distributed porosities (Porosity-...