Titlebook: Reanalysis of Structures; A Unified Approach f Uri Kirsch Book 2008 Springer Science+Business Media B.V. 2008 Approximate structural analys

Outmoded

偽證

載貨清單

安裝

Repeated Sensitivity Analysis,e structure. The derivatives of the response with respect to the system parameters, called the sensitivity coefficients, are used in the solution of various problems. In design optimization, the sensitivity coefficients are used to select a search direction. Their calculation often involves much com

Freeze

Computational Considerations,tion. In this chapter, some computational considerations, related to the efficiency of the calculations and the accuracy of the results, are discussed. It has been noted that in general the efficiency and the accuracy are conflicting considerations, that is, better accuracy is often achieved at the

ORBIT

Static Analysis,ons of the analysis will ensure that the model represents the problem under consideration and that the idealizations and approximations used result in a simplified solution. This latter property is essential particularly in the design of complex or large systems.

令人不快

Static Reanalysis,ysis by the CA approach, are developed. The solution is based on results of a single exact analysis and the integration of several concepts and methods, most of them presented in previous chapters. These include matrix factorization, series expansion, reduced basis, and Gram-Schmidt orthogonalizatio

Iatrogenic

Vibration Reanalysis,pproach, are developed. Using these procedures, significant improvements in the accuracy of the results and the efficiency of the calculations can be achieved [9–12]..In Sect. 6.1 vibration reanalysis by the CA approach is introduced. The approximate reduced eigenproblem is formulated and procedures

heterogeneous

Direct Reanalysis,he Sherman-Morrison formula by solving the initial analysis equations with a different right-hand side vector, which is a factor of the matrix increment. Similarly, solution for a higher-rank change in the stiffness matrix can be carried out by superposition of rank-one changes. This is reflected in

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Repeated Sensitivity Analysis,it approximations of the constraint functions in terms of the structural parameters (e.g. first-order Taylor series approximations). In addition, the sensitivities are required for assessing the effects of uncertainties in the structural properties (e.g. material or geometric properties) on the syst