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形状设计灵敏度分析
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  shape design sensitivity analysis
     Based on the material derivative approach and the Direct Differentiation Method (DDM), the Reproducing Kernel Particle Method (RKPM) is developed further for shape design sensitivity analysis (DSA).
     基于物质导数概念和直接微分法,将再生核质点法应用于形状设计灵敏度分析(DSA)中。
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  “形状设计灵敏度分析”译为未确定词的双语例句
     The correspodent design sensitivity analysis is studied, and the formulation with adjoint variable method is developed.
     在该模型下进行了结构形状设计灵敏度分析,导出了伴随变量法计算公式。
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  相似匹配句对
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     连杆形状优化设计灵敏度分析
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     基于灵敏度分析的预锻模具形状优化设计
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  shape design sensitivity analysis
Shape design sensitivity analysis of nonlinear structural systems
      
A unified approach is presented for shape design sensitivity analysis of nonlinear structural systems that include trusses and beams.
      
Using the domain formulation of shape design sensitivity analysis, and the adjoint variable and direct differentiation methods, design sensitivity expressions are derived in the continuous setting in terms of shape design variations.
      
A numerical method to implement the shape design sensitivity analysis, using established finite element codes, is discussed.
      
Shape design sensitivity analysis of kinematical boundaries
      
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A composite model of shape optimization of linear static elastic structure by finite element method and Bezier or B-spline curve and surface is presented. The correspodent design sensitivity analysis is studied, and the formulation with adjoint variable method is developed. Finally, some examples in beam shape optimization design are calculated.

本文提出了综合应用有限元和Bézier或B样条曲线曲面进行静力线弹性结构形状优化设计的模型。在该模型下进行了结构形状设计灵敏度分析,导出了伴随变量法计算公式。最后将该模型用于梁结构形状的优化设计,并给出了算例。

Based on the material derivative approach and the Direct Differentiation Method (DDM), the Reproducing Kernel Particle Method (RKPM) is developed further for shape design sensitivity analysis (DSA). DSA formulations based on meshless approximation are derived, and in particular, the differences between meshless method and FEM are stressed when taking material derivatives of shape functions with respect to design variables. A unique approach is presented to improve the efficiency of meshless methods, in which...

Based on the material derivative approach and the Direct Differentiation Method (DDM), the Reproducing Kernel Particle Method (RKPM) is developed further for shape design sensitivity analysis (DSA). DSA formulations based on meshless approximation are derived, and in particular, the differences between meshless method and FEM are stressed when taking material derivatives of shape functions with respect to design variables. A unique approach is presented to improve the efficiency of meshless methods, in which RKPM shape functions and their material derivatives are expressed explicitly in terms of kernel function moments. Two 2-D elasticity DSA examples are given. There is good agreement between the numerical results and the analytical results with regard to displacement sensitivities as well as stress sensitivities. In addition, comparison of time-consuming between the classic RKPM and the improved RKPM demonstrates that the present method can improve the efficiency of DSA markedly.

基于物质导数概念和直接微分法,将再生核质点法应用于形状设计灵敏度分析(DSA)中。导出了基于无网格近似的灵敏度方程,特别强调了在考虑形状函数关于设计变量的物质导数时无网格方法与有限元法的不同。通过对RKPM形状函数及其物质导数进行矩式显式表述,提高了无网格方法的计算效率。对两个二维线弹性问题进行了位移灵敏度和应力灵敏度分析,计算结果与解析解吻合的很好;同时通过对通常的RKPM和改进的RKPM计算耗时的比较,显示了该方法不仅有效,而且可以显著地提高计算效率。

>=Based on the material derivative approach and the Direct Differentiation Method(DDM),the Reproducing

基于物质导数概念和直接微分法,将再生核质点法(RKPM)应用于形状设计灵敏度分析(DSA)中。在将灵敏度方程进行离散时采用Bobaru 的离散方法,将位移和位移的物质导数均视为未知的连续函数,直接用无网格形状函数近似,避免了计算形状函数对设计变量的导数,简化了形状设计灵敏度的无网格分析过程。对一个二维线弹性问题进行了位移灵敏度和应力灵敏度分析,计算结果与解析解吻合的很好,表明了无网格法应用于形状设计灵敏度分析的有效性。

 
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