An analytical model for creating flat Chladni figures is presented. The equation of a standing wave in the simplest boundary conditions and Fourier transform are used. Top view images shown at different frequencies. practical significance results obtained further development field based on waves physical nature has been determined.

In this paper, deformations of a laminated composite plate due to mechanical loads are presented. Third order shear deformation theory of plates, which is categorized in equivalent single layer theories, is used to derive linear dynamic equations of a rectangular multi-layered composite plate. Moreover, derivation of equations for FEM and numerical solutions for displacements and stress distrib...

Finite difference method is used to calculate the via-plate capacitances for vias with pad. Due to the symmetric structure, the solving domain is reduced to a rectangular ρ − z region. Boundary conditions along the region are discussed. Both barrel-plate and pad-plate capacitances are studied with various geometric parameters. The results could be used as validations for possible analytical exp...

We consider here the Cauchy problem for the full system of dynamic Von KK armm an equations, which is a model for the vibrations of a nonlinear elastic plate. We prove global existence and uniqueness of nite energy solutions in the case of an innnite plate. We show then that our methods and results still hold for a rectangular plate which is simply supported or clamped at the boundary. Moreover...

In this article, an exact analytical solution for thermal buckling analysis of thin functionallygraded (FG) rectangular plates is presented. Based on the classical plate theory and using the principle ofminimum total potential energy, the stability equations are obtained. Since the material properties in FGmaterials are functions of the coordinates (specially the thickness), the stability equat...

In this paper, the modified couple stress theory is used to study vibration analysis of functionally graded rectangular micro-plates. Considering classical and first order plate theories, the couple governing equations of motion are obtained by using the Hamilton’s principle. Considering an assumed mode method, the accurate size dependent natural frequencies are established for simply supported...

the effect of steel plate thickness on the repair effectiveness of rc beam is presented in this paper. a total of four beams were tested, one beam repaired by cfrp with a thickness of 1.2 mm and used as a control beam, and three beams repaired by a steel plate. steel plates with a thickness of 2 mm, 3 mm, and 4 mm were used in repairing the beams. the maximum load-carrying capacity, deflection ...

This paper presents the governing equations on the rectangular plate with the variation of material stiffness through their thick using higher order shear deformation theory (HSDT). The governing equations are obtained by using Hamilton's principle with regard to variation of Young's modulus in through their thick with regard sinusoidal variation of the displacement field across the thickness. ...

OBJECTIVE The study was to investigate the impact of orthotropic material on the biomechanics of dental implant, based on a detailed mandible with high geometric and mechanical similarity. MATERIALS AND METHODS Multiple data sources were used to elaborate detailed biological structures and implant CAD models. In addition, an extended orthotropic material assignment methodology based on harmon...