In this work, we discuss a one dimensional inverse problem for the heat equation where unknown functions are solely time-dependent lower order coefficient and multiplicative source term. We use as data two integral overdetermination conditions along with initial Dirichlet boundary conditions. first step, term is eliminated by applying transformation converted to an equivalent of determining con...

In the present study, buckling problem of nonhomogeneous microbeams with a variable cross-section is analyzed. The microcolumn considered in this study made functionally graded materials longitudinal direction and varies continuously throughout axial direction. Bernoulli–Euler beam theory conjunction modified strain gradient are employed to model structure by considering size effect. Rayleigh–R...

The current study focussed on analysing natural frequency and damping of laminated composite beams (LCBs) by varying fiber angle, aspect ratio, material property boundary conditions. Ritz method with displacement field based the shear normal deformable theory is used modal calculated using strain energy method. Effects symmetric angle-ply cross-ply, anti balanced quasi-isotropic lay up schemes ...

Abstract Based on the Rayleigh-Ritz method, transverse vibration characteristics of a rectangular plate with an arbitrarily shaped inner opening are investigated. A modified two-dimensional Fourier series was chosen as trial function and springs different stiffnesses were used to equate arbitrary boundary conditions plate. The Lagrange generalization open is obtained by equating area special fi...

The presence of the delamination causes reductions in the bending stiffness which in turn leads to the undesirable loss in the compressive buckling and post-buckling strength. Thus, it is of chief importance to investigate the compressive behavior of composites with delaminations. Anastasiadis et al. analyzed the buckling and postbuckling behavior of delaminated composite laminates with a throu...

In this paper, buckling and free vibration analysis of a circular tapered nanoplate subjected to in-plane forces were studied. The linear variation of the plate thickness was considered in radial direction. Nonlocal elasticity theory was employed to capture size-dependent effects. The Raleigh-Ritz method and differential transform method were utilized to obtain the frequency equations for simpl...