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Constructing error-correcting pooling designs with symplectic space
Pooling designs de-disjunct matrix Symplectic space Totally isotropic subspaces Non-isotropic subspaces
2012/12/3
We construct a family of error-correcting pooling designs with the incidence matrix of two types of subspaces of symplectic spaces over finite fields. We
show that the new construction gives better r...
Symplectic system based analytical solution for bending of rectangular orthotropic plates on Winkler elastic foundation
Orthotropic plate Symplectic space Winkler elastic foundation Analytical solution
2012/2/28
This paper analyses the bending of rectangular orthotropic plates on a Winkler elastic foundation. Appropriate definition of symplectic inner product and symplectic space formed by generalized displac...
大连理工大学工业装备结构分析国家重点实验室研究成果：应用力学对偶体系及弹性力学求解辛体系 Duality System in Applied Mechanics and Symplectic Solution System for Elasticity
大连理工大学工业装备结构分析国家重点实验室研究 应用力学 偶体系 弹性力学 求解辛体系
2008/3/9
实现将应用力学多个学科领域从欧几里德空间向辛几何空间的转换，建立了应用力学别开生面、统一的方法论。对偶体系扩大了解析求解范围，如求解了各向同性与异性板弯曲、层合板等问题的解析解；建立和完善了平面弹性与薄板弯曲问题的相似性理论，给出薄板弯曲和平面弹性问题的类H-R、类胡—鹫及多类变量变分原理，放弃传统的C1类连续性要求，构造了高效实用的板单元。对偶体系更易于促进力学与交叉学科领域的相互渗...