The problem of the out of plane buckling of polar orthotropic armuli under uniform internal or external pressure loading has been investigated with the assumption of axisymmetry by numerous researchers. In this paper, the buckling of polar and rectilinearly orthotropic annuli subjected to internal or external pressure loading is examined without restriction to axisymmetric buckling modes. The b...

Harmonic extraction methods for the multiparameter eigenvalue problem willbe presented. These techniques are generalizations of their counterparts forthe standard and generalized eigenvalue problem. The methods aim to ap-proximate interior eigenpairs, generally more accurately than the standardextraction does. The process can be combined with any subspace expansionapproa...

The uniform formulation of dynamic vibration analysis multispan beams is presented by using an efficient domain decomposition method in this paper. Firstly, the structure divided into several equal sections based on method. Next, artificial spring used to simulate complex boundaries and continuity condition beam. Finally, admissible displacement functions are expanded through Jacobi orthogonal ...

In this paper, an approximate formula of the fractional derivatives (Caputo sense) is derived. The proposed formula is based on the generalized Laguerre polynomials. Special attention is given to study the convergence analysis of the presented formula. The spectral Laguerre collocation method is presented for solving a class of fractional optimal control problems (FOCPs). The properties of Lagu...

In this paper, the vibration analysis of a partially constrained layer damping plate subjected to moving loads is investigated. addition, first four order loss factor system optimized with location as design variable. The equations motion are derived through Lagrange equation based on shear deformation theory (FSDT). Next, using an extended Rayleigh–Ritz solution together penalty method express...

In this paper, the compressive behavior of composite laminates with multiple through-the-width delaminations is investigated analytically. The analytical method is based on the CLPT theory and its formulation is developed on the basis of the Rayleigh-Ritz approximation technique to analyze the buckling and post-buckling behavior of the delaminated laminates. The method can handle both local buc...

Ice-sheet modelers tend to be more familiar with the Newtonian, vectorial formulation of continuum mechanics, in which the motion of an ice sheet or glacier is determined by the balance of stresses acting on the ice at any instant in time. However, there is also an equivalent and alternative formulation of mechanics where the equations of motion are instead found by invoking a variational princ...

We consider a parallel method for solving generalized eigenvalue problems that arise from large-scale molecular orbital computations. We use a moment-based method that finds several eigenvalues and their corresponding eigenvectors in a given domain, which is suitable for master-worker type parallel programming models. We also show the efficiency of the Rayleigh-Ritz procedure for improving the ...

We introduce a variational method for approximating distribution functions of dynamics with a “Liouville operator” L̂, in terms of a nonequilibrium action functional for two independent (left and right) trial states. The method is valid for deterministic or stochastic Markov dynamics, and for stationary or time-dependent distributions. A practical Rayleigh-Ritz procedure is advanced, whose input...