动态粘弹性板的优化设计问题。1 .短时记忆材料

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED Applications of Mathematics Pub Date : 1995-01-01 DOI:10.21136/am.1995.134295

I. Bock

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引用次数: 0

摘要

总结。研究了具有速度约束的动态粘弹性板的变厚度最优控制问题。状态问题具有伪双曲变分不等式的形式。证明了状态问题的存在唯一性定理和最优厚度函数的存在性。

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Optimal design problems for a dynamic viscoelastic plate. I. Short memory material

Summary. We deal with an optimal control prob l em with respect to a variable thickness for a dynamic viscoelastic plate with velocity constraints. The state problem has the form of a pseudohyperbolic variational inequa l ity. The existence and uniqueness theorem for the state prob l em and the existence of an optima l thickness function are proved.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.