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VARIATIONAL: 作品数：647被引量：975H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：彭立国高原梁维刘希强蔡明军更多>>; 相关机构：东南大学华东师范大学淮北煤炭师范学院沈阳工业大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures:a two-point formulation in Cartesian coordinates: 《Applied Mathematics and Mechanics(English Edition)》2022年第8期1219-1232,共14页M.FARAJI-OSKOUIE R.ANSARI M.DARVIZEH; A new numerical approach is presented to compute the large deformations of shell-type structures made of the Saint Venant-Kirchhoff and Neo-Hookean materials based on the seven-parameter shell theory.A work conjugate ...; 关键词：shell large deformation variational differential quadrature(VDQ)technique seven-parameter shell theory first Piola Kirchhoff stress tensor and deformation gradient tensor(P−F)formulation

Chebyshev spectral variational integrator and applications被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2020年第5期753-768,共16页Zhonggui YI Baozeng YUE Mingle DENG; the National Natural Science Foundation of China (Nos. 11472041,11532002,11772049,and 11802320)。; The Chebyshev spectral variational integrator(CSVI) is presented in this paper. Spectral methods have aroused great interest in approximating numerically a smooth problem for their attractive geometric convergence rat...; 关键词：geometric numerical method spectral method variational integrator Clenshaw-Curtis quadrature rule barycentric Lagrange interpolation orbital propagation

New way to construct high order Hamiltonian variational integrators: 《Applied Mathematics and Mechanics(English Edition)》2016年第8期1041-1052,共12页Minghui FU Kelang LU Weihua LI S. V. SHESHENIN; Project supported by the National Natural Science Foundation of China(Nos.11172334 and11202247);the Fundamental Research Funds for the Central Universities(No.2013390003161292); This paper develops a new approach to construct variational integrators. A simplified unconventional Hamilton＇s variational principle corresponding to initial value problems is proposed, which is convenient for appli...; 关键词：Hamiltonian system variational integrator symplectic algorithm unconventional Hamilton＇s variational principle nonlinear dynamics

Modeling vibration behavior of delaminated composite laminates using meshfree method in Hamilton system: 《Applied Mathematics and Mechanics(English Edition)》2015年第5期633-654,共22页Jie CHEN Hai WANG Guanghui QING; Free vibration analysis of composite laminates with delaminations is performed based on a three-dimensional semi-analytical model established by introducing the local radial point interpolation method（LRPIM） into a ...; 关键词：interpolation superiority validate variational laminated overlapping quadrature radial insensitive symmetric

State-vector equation with damping and vibration analysis of laminates被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2007年第2期253-259,共7页卿光辉徐建新邱家俊; Based on the modified mixed Hellinger-Reissner（H-R） variational principle for elastic bodies with damping, the state-vector equation with parameters is directionally derived from the principle. A new solution for th...; 关键词：laminted plates DAMPING vibration H-R variational theorem statevector equation

GENERALIZED VECTOR VARIATIONAL-TYPE INEQUALITIES IN FC-SPACES: 《Applied Mathematics and Mechanics(English Edition)》2006年第11期1451-1459,共9页方敏丁协平; Project supported by the Natural Science Foundation of Sichuan Education Department of China(No.2003A081); A class of generalized vector variational-type inequality problems （GVVTIP） are studied in FC-spaces, which includes the most of vector equilibrium problems, vector variational inequality problems, generalized vecto...; 关键词：generalized vector variational-type inequality F-KKM mapping F-Px-diagonally quasiconvex FC-SPACE

GENERALIZED VARIATIONAL PRINCIPLES OF THE VISCOELASTIC BODY WITH VOIDS AND THEIR APPLICATIONS被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2004年第4期381-389,共9页盛东发程昌钧扶名福; theNationalNaturalScienceFoundationofChina ( 1 0 2 72 0 69) ;theMunicipalKeySubjectProgramofShanghai; From the Boltzmann's constitutive law of viscoelastic materials and the linear theory of elastic materials with voids, a constitutive model of generalized force fields for viscoelastic solids with voids was given. By ...; 关键词：viscoelastic solid with void variational integral method generalized variational principle generalized potential energy principle Timoshenko beam

STABILITY CRITERIA IN TERMS OF TWO MEASURES FOR DELAY DIFFERENTIAL EQUATIONS: 《Applied Mathematics and Mechanics(English Edition)》2002年第3期311-320,共10页KOU Chun-hai(寇春海) ZHANG Shu-nian(张书年); theNationalNaturalScienceFoundationofChina( 1 983 1 0 3 0 ); By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, emplo...; 关键词：delay differential equations variational Liapunov method STABILITY two measures

SEMI-INVERSE METHOD AND GENERALIZED VARIATIONAL PRINCIPLES WITH MULTI-VARIABLES IN ELASTICITY被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2000年第7期797-808,共12页何吉欢; theNationalKeyBasicResearchSpecialFoundationofChina!(G1 9980 2 0 3 1 8); Semi-inverse method, which is an integration and an extension of Hu's try-and-error method, Chien's veighted residual method and Liu's systematic method, is proposed to establish generalized variational principles wit...; 关键词：variational principle in elasticy Chien's generalized variational principles Hu-Washizu principle semi-inverse method trial-functional variational crisis

FUZZY STOCHASTIC VARIABLE AND VARIATIONAL PRINCIPLE: 《Applied Mathematics and Mechanics(English Edition)》1999年第7期94-99,共6页杨绿峰李桂青; In this paper, the peaky fuzzy stochastic variable and its mean of real value were proposed based on the concept of fuzzy probability. Fuzziness and randomness were introduced into the functional of overall potential...; 关键词：variational principle fuzzy stochastic peaky fuzzy number

VARIATIONAL