Static and dynamic analysis of structures wilson pdf
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- WILSON - Static and Dynamic Analysis of Structures
- [SAP2000] 3d Static and Dynamic Analysis of Structures - E. Wilson
- Method for solving dynamic equilibrium equations based on displacement excitation
- three-dimensional static and dynamic analysis of structures edward l wilson
Edward L. Copyright by Computers and Structures, Inc. No part of this publication may be reproduced or distributed in any form or by any means, without the prior written permission of Computers and Structures, Inc. Copies of this publication may be obtained from: Computers and Structures, Inc. Copyright Computers and Structures, Inc.
WILSON - Static and Dynamic Analysis of Structures
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[SAP2000] 3d Static and Dynamic Analysis of Structures - E. Wilson
Mode superposition is a widely used method for solving the dynamic equilibrium equation in structural dynamic analysis. However, the accuracy of this method may be reduced when the dynamic equilibrium equations are set up using displacement excitation. A new method for developing solutions for dynamic equilibrium equations based on displacement excitation is introduced. The dynamic equilibrium equation is decomposed into two parts, namely displacement excitation and velocity excitation, and precise integration and mode superposition methods are combined to solve the equation. Ritz vectors are then used to calculate the static response of the truncated modes of the structure, and a method for determining the number of participating modes is obtained. Using multi-degree-of-freedom systems as two computational examples, the differences in the structural responses obtained from the displacement excitation and acceleration excitation are compared and analyzed. It is shown that the new solution method generates consistent accuracy between the displacement excitation and acceleration excitation.
Method for solving dynamic equilibrium equations based on displacement excitation
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three-dimensional static and dynamic analysis of structures edward l wilson
Dynamic and static analysis of FGM skew plates with 3D elasticity based graded finite element modeling. On the basis of the principle of minimum potential energy and the Rayleigh Ritz method, the equations of motion are derived in conjunction with the graded finite element approach. Solution of the resulted system of equations in time domain is carried out via Newmark's time integration method. Calculations are applied for fully clamped boundary condition. In the present paper, two different sets of distributions for material properties are considered. For the static analysis, material properties are considered to vary through the thickness direction according to an exponential law. In the case of dynamic analysis, variations of the volume fractions through the thickness are assumed to obey a power law function.