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Direct stiffness method
About: Direct stiffness method is a research topic. Over the lifetime, 2584 publications have been published within this topic receiving 53131 citations.
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TL;DR: In this article, the stochastic buckling behavior of sandwich plates is analyzed considering uncertain system parameters (material and geometric uncertainty) using higher-order-zigzag theory (HOZT) and finite element model to evaluate the random first three buckling loads.
55 citations
TL;DR: In this paper, the stiffness matrix for a high order shallow shell finite element is presented explicitly, and convergence studies are carried out for a cylindrical shell, a translational shell, and a hyperbolic paraboloidal shell with a constant twist radius of curvature.
Abstract: The stiffness matrix for a high order shallow shell finite element is presented explicitly. The element is of rectangular plan and possesses three constant radii of curvature: two principal ones and a twist one. Each of the three displacement functions is assumed as the product of one-dimensional, first-order Hermite interpolation formulas. An eigenvalue analysis performed on the element stiffness matrix shows that the six rigid-body displacements are included. Convergence studies are carried out for a cylindrical shell, a translational shell with two constant principal radii of curvature, and a hyperbolic paraboloidal shell with a constant twist radius of curvature. Excellent agreements are found when comparing the present results with the alternative series and finite difference solutions. A review of the previously developed shell finite elements shows that the present element is highly efficient in terms of convergence rate or computational effort.
54 citations
TL;DR: In this paper, the analog equation method (AEM) is employed to the non-linear dynamic analysis of a Bernoulli-Euler beam with variable stiffness undergoing large deflections, under general boundary conditions which may be nonlinear as the cross-sectional properties of the beam vary along its axis.
54 citations
TL;DR: In this article, a test specimen geometry for the direct measurement of the four in-plane stiffness components of orthotropic materials is defined based on a suitable use of the principle of virtual work, which leads to a system of equations that links the stiffness components to the global force applied and geometry parameters.
Abstract: This paper deals with the definition of a new test specimen geometry for the direct measurement of the four in-plane stiffness components of orthotropic materials. The technique is based on a suitable use of the principle of virtual work. The choice and application of four different types of virtual kinematic fields leads to a system of equations that links the our stiffness components to the global force applied and geometry parameters. A numerical simulation based on finite lement modelling is used to validate the approach. The stability of the process is also demonstrated.
54 citations
TL;DR: In this article, the exact stiffness matrix for a curved beam element with constant curvature is derived for a plane two-node six degree-of-freedom element in which effects of flexural, axial and shear deformations are taken into account.
54 citations