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101.
Yu. V. Kokhanenko 《International Applied Mechanics》2006,42(9):1045-1051
A thin rectangular sandwich plate with isotropic linear elastic layers is considered. The plate is in a plane-strain state
under uniaxial compression. An exact statement of the buckling problem is given. Its approximate solution is found by the
finite-difference method. The concept of base scheme is used to formulate discrete problems in explicit and compact form.
As an example, the critical parameters of the plate are calculated using a computation optimization procedure. Its efficiency
is demonstrated
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 98–105, September 2006. 相似文献
102.
103.
In this paper, the design sensitivity analysis for the deflection of a beam or plate structure is first investigated with respect to the position of a simple support using the discrete method. Both elastic and rigid supports are taken into account, and closed-form formulae for the deflection sensitivity are developed straightforwardly. Then, on the basis of the design sensitivity analysis, a heuristic optimization algorithm, called the evolutionary shift method, is presented for support position optimization to minimize the maximal deflection of a structure with a fixed grid mesh scheme. In each iterative loop, the support with the highest efficiency is shifted in priority. To facilitate the convergence of the process, a polynomial interpolation technique is employed to evaluate the solution more accurately. The optimal solution is achieved gradually with a minimum modification of the support layout design. Finally, three numerical examples are presented to demonstrate the validities of the sensitivity analysis and the optimization method. Results show that support optimization can improve the structural behavior significantly. 相似文献
104.
基于拓扑描述函数的连续体结构拓扑优化方法 总被引:14,自引:0,他引:14
提出了一种利用拓扑描述函数(TDF)作为拓扑设计变量求解连续体结构拓扑优化问题
的新方法. 优化问题的目标函数是结构的整体柔顺性,约束条件为对于可利用材料的体积限
制. 这种方法不仅可以消除拓扑优化中经常出现的棋盘格式等数值不稳定现象,而且能够有
效地抑制传统算法处理此类优化问题时所引发的边界扩散效应. 与其它的基于水平集描述函
数的拓扑优化方法相比,所提出的算法不仅无需求解控制水平集函数演化的双曲守恒方
程,而且合理地考虑了目标函数的拓扑导数信息,因而使得算法的计算效率有了显著的提高. 相似文献
105.
106.
应力约束下薄板结构的拓扑优化 总被引:17,自引:1,他引:17
研究了应力约束下薄板结构的拓扑优化问题,分析了极限应力的影响,建立了拓扑优化的数学模型,讨论了若干优化过程中的技术问题,最后,进行了实例计算。 相似文献
107.
结构形状优化设计数值方法的研究和应用 总被引:1,自引:0,他引:1
本文论述了连续体结构形状优化设计数值方法的研究和应用进展,讨论了结构模型化、灵敏度分析、优化方法改进、优化实用软件开发以及同CAD技术相结合等问题,介绍了在结构优化设计软件MCADS中采用的方法,并通过工程实例说明了结构形状优化设计的应用及其价值。 相似文献
108.
Based on the dual theory of nonlinear mathematical programming and the second order Taylor series expansions of functions,
an efficient algorithm for structural optimum design has been developed. The main advantages of this method are the generality
in use, the efficiency in computation and the capability in identifying automatically the set of active constraints. On the
basis of the virtual work principle, formulas in terms of element stresses for the first and second order derivatives of nodal
displacement and stress with respect to design variables are derived. By applying the Saint-Venant's principle, the computational
efforts involved in the Hessian matrix associated with the iterative expression can be significantly reduced. This method
is especially suitable for optimum design of large scale structures. Several typical examples have been optimized to test
its uasefulness. 相似文献
109.
将准则法和数学规划法相结合,借助满应力准则将应力约束转化为动态尺寸约束,利用单位虚载荷法将位移约束转化为设计变量的显式表达式建立优化模型,然后用数学规划法求解;采用无量纲设计变量实现设计变量连接,对膜结构的厚度进行优化设计;根据对偶理论,应用对偶规划精确映射原问题,再按泰勒展式建立对偶问题的二阶近似。为了提高优化效率,采用射线步调整结构性态,运用粗选有效约束技术筛选约束,并采用主、被动变量循环确保收敛稳定。以MSC/Nastran软件作为结构分析的求解器,以MSC/Patran软件作为开发平台,完成了膜结构截面优化程序。对膜结构的单变位、多变位的结构优化问题进行了优化计算,并与MSC/Nastran优化模块的计算结果进行比较。算例结果表明程序的可靠性、高效性和稳定性以及理论算法的优越性。 相似文献
110.
Xueping Li Zuguang Ying 《Acta Mechanica Solida Sinica》2007,20(4):342-349
A feedback control optimization method of partially observable linear structures via stationary response is proposed and analyzed with linear building structures equipped with control devices and sensors. First, the partially observable control problem of the structure under horizontal ground acceleration excitation is converted into a completely observable control problem. Then the It6 stochastic differential equations of the system are derived based on the stochastic averaging method for quasi-integrable Hamiltonian systems and the stationary solution to the Fokker-Plank-Kolmogorov (FPK) equation associated with the It6 equations is obtained. The performance index in terms of the mean system energy and mean square control force is established and the optimal control force is obtained by minimizing the performance index. Finally, the numerical results for a three-story building structure model under E1 Centro, Hachinohe, Northridge and Kobe earthquake excitations are given to illustrate the application and the effectiveness of the proposed method. 相似文献