In this article, the effect of size-dependent on the buckling and vibration analysis of functionally graded (FG) double-layer boron nitride plate based on classical plate theory (CPT) under electro-thermo-mechanical loadings which is surrounded by elastic foundation is examined. This subject is developed using modified couple stress theory. Using Hamilton's principle, the governing equations of...

Abstract Negative Gaussian curvature in deformed surface subjected to concentrated loads is a key weakening factor on the accuracy of umbrella antennas. The negative impacts can be mitigated by increasing bending rigidity reflector surface. Thus, firstly, this paper concerned with effect based analysis circular thin plate large deflection. Exact expressions for plates are derived using analytic...

In this chapter, we extend the first-order NOM to higher order by using a Taylor series expansion. The is special case of NOM. can be derived two methods, one weighted expansion, and other minimization operator energy functional for For quadratic functional, residual, tangent stiffness matrix nonlocal strong form. section on numerical examples, applied current method problems formulated form we...

where ∆ is the Laplace operator with respect to x and x, D = Eh/12(1 − ν) is the bending rigidity, E is Young’s modulus, ν is Poisson’s ratio, h is the thickness of the plate, ρ is the mass per unit area of the plate middle-plane, δ is the Kronecker delta symbol and ε is the alternating symbol. Here and throughout the work: Greek (Latin) indices range over 1, 2 (1, 2, 3), unless explicitly stat...

By the semi-inverse method proposed by He, a Lagrangian is established for the large deflection problem of thin circular plate. Ritz method is used to obtain an approximate analytical solution of the problem. First order approximate solution is obtained, which is similar to those in open literature. By Mathematica a more accurate solution can be deduced. 2002 Elsevier Science Inc. All rights re...

In this study, nonlinear bending of functionally graded (FG) circular sector plates with simply supported radial edges subjected to transverse mechanical loading has been investigated. Based on the first-order shear deformation plate theory with von Karman strain-displacement relations, the nonlinear equilibrium equations of sector plates are obtained. Introducing a stress function and a potent...

We consider an aeroelastic model known as a nonlinear flow-structure interaction, which describes the oscillations of a thin, flexible plate immersed in a potential flow. This model is used to study the phenomenon known as flutter, which involves the coupling of the plate’s vibrational modes with the aerodynamic load. Here, we treat this problem from a partial differential equations point of vi...

This paper develops a theoretical model for wrinkling of an elastic film on a viscoelastic layer. The film is elastic and subjected to a compressive residual strain. The viscoelastic layer is sandwiched between the film and a rigid substrate. The nonlinear von Karman plate theory is employed to model the film, and a thin-layer approximation is adopted for the viscoelastic layer. The stability o...