共查询到20条相似文献,搜索用时 367 毫秒
1.
沈孝明 《应用数学和力学(英文版)》1994,15(6):561-569
MIXEDCOMPATIBLEELEMENTANDMIXEDHYBRIDINCOMPATIBLEELEMENTVARIATIONALMETHODSINDYNAMICSOFVISCOUSBAROTROPICFLUIDSShenXiao-ming(沈孝明... 相似文献
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ON THE STABILITY OF NONHOLONOMIC MECHANICAL SYSTEMS WITH RESPECT TO PARTIAL VARIABLES 总被引:4,自引:2,他引:2
ONTHESTABILITYOFNONHOLONOMICMECHANICALSYSTEMSWITHRESPECTTOPARTIALVARIABLESZhuHai-ping(朱海平)MeiFeng-xiang(梅凤翔)(BeijingUniversit... 相似文献
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ANALYSIS OF DYNAMIC RESPONSE OF AN IMPACTED ELASTIC PLATE 总被引:1,自引:0,他引:1
尹邦信 《应用数学和力学(英文版)》1996,17(7):677-682
ANALYSISOFDYNAMICRESPONSEOFANIMPACTEDELASTICPLATE¥(尹邦信)YinBangxin(DepartmentofCivilEngineering,SouthwestinstituteofTechnology,... 相似文献
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王怀忠 《应用数学和力学(英文版)》1995,16(11):1039-1045
ELEMENT-BY-ELEMENTMATRIXDECOMPOSITIONANDSTEP-BY-STEPINTEGRATIONMETHODFORTRANSIENTDYNAMICPROBLEMSWangHuaizhong(王怀忠)(ReceivedJu... 相似文献
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杨文熊 《应用数学和力学(英文版)》1996,17(2):139-144
POWERVECTORS,COMBINATORIALVECTORNUMBERSANDITSTHEORYOFFUNCTIONSYangWenxiong(杨文熊)(ShanghaiJiaotongUniversit}',Shanghai200030.P.... 相似文献
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商朋见 《应用数学和力学(英文版)》1995,16(7):643-649
INCREASINGPROPERTYOFSPECTRUMINTHEVIBRATIONSOFACYCLICCHAINOFMASSESDISTRIBUTEDACCORDINGTOTHEGTMSEQUENCEShangPengjian(商朋见)(Depar... 相似文献
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方锦暄 《应用数学和力学(英文版)》1996,(6)
(Φ,△)-TYPEPROBABILISTICCONTRACTORANDSOLUTIONSFORANONLINEAROPERATOREQUATIONSINMENGERPN-SPACES¥FangJinxuan(方锦暄)(DepartmentofMat... 相似文献
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GREEN'SFUNCTIONSOFTWO-DIMENSIONALANISOTROPIC BODY WITH A PARABOLIC BOUNDARY(胡元太)(赵兴华)GREEN'SFUNCTIONSOFTWO-DIMENSIONALANISOTROP?.. 相似文献
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安里千 《应用数学和力学(英文版)》1994,15(4):359-364
CCDAUTOMATEDPOLARISCOPESYSTEMANDTHESTRESSANALYSISMETHODSAnLi-qian(安里千)(PekingGraduateSchool.ChinaUniversityofMining)Beijing(R... 相似文献
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AGROUPOFISOPARAMETRICELEMENTSSUITABLEFORST.VENANT’STORSIONOFABARWITHCRACKSFanXiuchang(范秀昌)WuYueming(吴月明)(TianjinInstituteofTe... 相似文献
11.
《International Journal of Solids and Structures》2003,40(4):1001-1031
The theory of fundamental boundary eigensolutions for elastostatic problems, developed in Part I, is applied to formulate methods for computational mechanics. This theory shows that every elastic solution can be written as a linear combination of some fundamental boundary orthogonal deformations, thus providing a generalized Fourier expansion. One finds that traditional boundary element and finite element methods are largely consistent with this theory, but do not harness its full power. This theory shows that these computational methods are indirectly a generalized discrete Fourier analysis. Furthermore, by utilizing suitable boundary weight functions, boundary element and finite element formulations may be written exclusively in terms of bounded quantities, even for non-smooth problems involving notches, cracks, mixed boundary conditions and bi-material interfaces. The close relationship between the resulting boundary element and finite element methods also becomes evident. Both use displacement and surface traction as primary variables. A new degree-of-freedom concept is introduced, along with a stiffness tensor that enables one to visualize a finite element method via a boundary discretization process, just as in a boundary element approach. Global convergence characteristics of the traction-oriented finite element method are also developed. Comparisons with closed-form fundamental boundary eigensolutions for a circular elastic disc are presented in order to provide a means for assessing the numerical methods. Several other numerical examples are solved efficiently by using the concept of boundary eigensolutions in an indirect fashion. The results indicate that the algorithms follow the underlying theory and that solutions to non-smooth problems can be obtained in a systematic manner. Beyond this, the concept of boundary eigensolutions provides an alternative view of computational continuum mechanics that may lead to the development of other non-traditional approaches. 相似文献
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Chen Mengcheng 《Acta Mechanica Solida Sinica》1994,7(4):367-375
A new method based on a modified line-spring model is developed forevaluating the natural frequencies of vibration of a cracked beam.This model inconjunction with the Euler-Bernoulli beam theory,modal analysis and linear elasticfracture mechanics is applied to obtain an approximate characteristic equation of acracked hinged-hinged beam.By solving this equation the natural frequencies aredetermined for different crack lengths in different positions.The results show goodagreement with the solutions through finite element analysis.The present method maybe extended to analyze other cracked complicated structures with various boundaryconditions. 相似文献
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A new algorithm is developed based on the parametric variational principle for elastic-plastic analysis of Cosserat continuum. The governing equations of the classic elastic-plastic problem are regularized by adding rotational degrees of freedom to the conventional translational degrees of freedom in conventional continuum mechanics. The parametric potential energy principle of the Cosserat theory is developed, from which the finite element formulation of the Cosserat theory and the corresponding parametric quadratic programming model are constructed. Strain localization problems are computed and the mesh independent results are obtained. 相似文献
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各向异性损伤力学中的弹塑性分析 总被引:7,自引:0,他引:7
提出了一套分析损伤力学问题的各向异性弹塑性理论公式及其相应的有限元分析,通过对各向同性及各向异性损伤力学的数值算例的分析说明该理论公式的适用性。 相似文献
17.
特征值问题的边界形状灵敏度 总被引:8,自引:0,他引:8
研究连续系统振动特征值问题的边界形状灵敏度满足什么方程和边界条件,如何离散化作近似计算结果表明:如果采用相同的有限单元剖分模式,边界形状灵敏度方程和特征值问题方程具有相同的系数矩阵,但前者是非齐次方程,后者是齐次方程;前者需要施加非齐次边界条件,后者施加齐次边界条件。 相似文献
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比例边界有限元是一种只需在边界上划分网格且无需基本解的半解析方法,能有效处理应力奇异性和无边界问题.论文提出了一种比例边界有限元的二阶灵敏度分析方法,可以准确而高效地求解响应关于参数的二阶梯度.首先通过建立仅需右特征向量的哈密顿矩阵特征灵敏度分析方程,发展了一种改进的比例边界有限元一阶灵敏度分析方法;其次,进一步通过构建二阶哈密顿矩阵特征灵敏度分析方程,并对比例边界有限元系统方程进行一系列二次直接微分,提出了一种半解析形式的比例边界有限元二阶灵敏度分析方法.该方法被应用于线弹性裂纹结构的形状灵敏度分析和不确定性传播分析.最后,给出了两个数值算例验证论文方法的有效性. 相似文献
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缆索吊装系统有限元分析中的滑轮单元 总被引:1,自引:0,他引:1
为精确模拟结构中的滑轮,建立了滑轮支承一段索的单元,它考虑了滑轮的半径. 该``滑轮单元'的中间节点在滑轮的中心,另两个节点为索段位于滑轮两侧的端点. 新单元通过自动调整索在滑轮两侧的长度,使单元达到平衡状态. 单元算法的推导基于有限元分析的基本原理,并利用了处于平衡状态时单元内力之间的关系. 介绍新单元的推导过程,算例验证了它的正确性,并显示了其在含有滑轮索结构有限元分析中的高效性和方便性. 相似文献