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991.
Infinite Horizon Controlled Diffusions with Randomly Varying and State-Dependent Discount Cost Rates
Xianggang Lu G. Yin Xianping Guo 《Journal of Optimization Theory and Applications》2017,172(2):535-553
This work focuses on optimal controls of diffusions in an infinite horizon. It has several distinct features in contrast to the existing literature. The discount factor is allowed to be randomly varying and state dependent. The existence and uniqueness of the viscosity solution to the associated Hamilton–Jacobi–Bellman equation are established. The verification theorem is also obtained. Because closed-form solutions are virtually impossible to obtain in most cases, we develop numerical methods. Using the Markov chain approximation methods, numerical schemes are constructed; viscosity solution methods are used to prove the convergence of the algorithm. In addition, examples are given for demonstration purpose. 相似文献
992.
Structure-enforced matrix factorization (SeMF) represents a large class of mathematical models appearing in various forms of principal component analysis, sparse coding, dictionary learning and other machine learning techniques useful in many applications including neuroscience and signal processing. In this paper, we present a unified algorithm framework, based on the classic alternating direction method of multipliers (ADMM), for solving a wide range of SeMF problems whose constraint sets permit low-complexity projections. We propose a strategy to adaptively adjust the penalty parameters which is the key to achieving good performance for ADMM. We conduct extensive numerical experiments to compare the proposed algorithm with a number of state-of-the-art special-purpose algorithms on test problems including dictionary learning for sparse representation and sparse nonnegative matrix factorization. Results show that our unified SeMF algorithm can solve different types of factorization problems as reliably and as efficiently as special-purpose algorithms. In particular, our SeMF algorithm provides the ability to explicitly enforce various combinatorial sparsity patterns that, to our knowledge, has not been considered in existing approaches. 相似文献
993.
当二次等参体元用于分析接触问题时,接触面上节点集中接触力不同号给建立接触判据造成困难。本文建立了由节点集中接触力计算接触面上分布接触力节点值的方法,从而可顺利建立接触判据。此方法已成功应用于工程中的弹性固体接触问题分析,文末给出了一个计算实例。 相似文献
994.
各向异性晶体滑移有限元程序及其应用 总被引:4,自引:1,他引:4
本文全面介绍了各向异性晶体滑移结构强度和蠕变分析有限元程序的原理、功能特点及其在镍基单晶涡轮叶片中的应用实例。 相似文献
995.
尹双增 《应用数学和力学(英文版)》1985,6(6):533-544
The existence of the plastic area around the crack tip is an important factor against thecracking.In this plastic region.the cracking most likely develops in such a direction alongwhich the distance from the existant crack tip to the plastic region edge is the shortest one.Substituting the stress components at the crack tip for a combined cracking into R.Von.Mises equation of yielding condition,the boundary equation of the plastic regionaround the crack tip can be expressed as:where r is the distance from the crack tip to the boundary of plastic region.The direction inwhich the cracking develops can be determined by following conditions:One form of the material failures is the slipping under the action of shear stress.Underthe conditions of complex stress,the octahedral shear stress on a point around the crack tipis here.B devotes the.factor of the octahedral shear stress,which relates to the size. pattern ofcrack and the exerted stress.Its magnitude reflects the strength of the stress field aroundthe c 相似文献
996.
997.
998.
999.
考虑地基-结构-散粒体相互作用时贮仓结构的静、动力研究[Ⅱ]--有限元分析 总被引:1,自引:0,他引:1
对贮仓结构的静、动力问题进行了系统的分析计算:考虑到地基—结构—散粒体间的相互作用,引入新的计算模式,对不同地基上的贮仓结构模型进行了系统的有限元静、动力分析计算,并与作者所完成的试验结果进行了比较。结果表明,所提出的计算模式及有限元计算模型是正确的。 相似文献
1000.
Bueckner‘s work conjugate integral customarily adopted for linear elastic materials is established for an interface crack in dissimilar anisotropic materials. The difficulties in separating Stroh‘s six complex arguments involved in the integral for the dissimilar materials are overcome and then the explicit function representations of the integral are given and studied in detail. It is found that the pseudo-orthogonal properties of the eigenfunction expansion form (EEF) for a crack presented previously in isotropic elastic cases, in isotopic bimaterial cases, and in orthotropic cases are also valid in the present dissimilar arbitrary anisotropic cases. The relation between Bueckner‘s work conjugate integral and the J-integral in these cases is obtained by introducing a complementary stressdisplacement state. Finally, some useful path-independent integrals and weight functions are proposed for calculating the crack tip parameters such as the stress intensity factors. 相似文献