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991.
提出一种渐近方法用来处理一类多自由度强非线性自治振动系统,它是新渐近方法 ̄[1]的推广。本方法适用于主共振情形,我们建立了振幅和相位所满足的方程。文末用两个例子说明本方法的有效性。 相似文献
992.
梁的动力稳定性分析的有限元方法 总被引:6,自引:0,他引:6
提出了对梁进行动力学稳定性分析的有限元方法──给出了单元质量矩阵,抗弯刚度矩阵,几何刚度矩阵及相应的Mathieu方程,通过坐标变换消除了方程的动力与静力耦合,然后说明了由这种具有参数激励耦合的多自由度系统的Mathieu方程求得系统一般参数共振及组合参数共振的过渡曲线的约束参数方法与多尺度方法。最后作为算例求出了均匀简支梁受简谐轴向力作用时的过渡曲线。 相似文献
993.
小山水电站厂房高边坡岩体稳定性研究 总被引:1,自引:0,他引:1
本文采用块体极限平衡Sarma法和非线有限单元分析法对小山水电站厂房边坡岩体稳定性进行了分析研究。综合两种方法的计算成果分析, 厂房边坡岩体在自然状态下是基本稳定的, 整体安全系数均大于1.30, 但在边坡岩体内存在部分张应力区和塑性区。若考虑Ⅵ度地震, 厂房边坡岩体Sarma法和有限元计算的安全系数分别为1.18和1.16, 处于极限平衡状态。考虑到长期稳定边坡安全系数大于1.30的规范要求, 需进行一定的加固处理, 保障厂房安全运行。 相似文献
994.
一种薄板弯曲问题的四边形位移单元 总被引:32,自引:0,他引:32
本文基于修正势能泛函,引入广义协调的概念,导出了一种具有12个自由度的薄板弯曲四边形位移单元LGC—Q12,这种单元协调性好,列式简单,计算精度高。并且能近似地通过分片检验。 相似文献
995.
This paper presents a theoretical solution for the basic equation of axisymmetric problems in elastodynamics. The solution
is composed of a quasi-static solution which satisfies inhomogeneous boundary conditions and a dynamic solution which satisfies
homogeneous boundary conditions. After the quasi-static solution has been obtained an inhomogeneous equation for dynamic solution
is found from the basic equation. By making use of eigenvalue problem of a corresponding homogeneous equation, a finite Hankel
transform is defined. A dynamic solution satisfying homogeneous boundary conditions is obtained by means of the finite Hankel
transform and Laplace transform. Thus, an exact solution is obtained. Through an example of hollow cylinders under dynamic
load, it is seen that the method, and the process of computing are simple, effective and accurate. 相似文献
996.
A convergent numerical method for modeling in situ biorestoration of contaminated groundwater is outlined. This method treats systems of transport-biodegradation equations by operator splitting in time. Transport is approximated by a finite element modified method of characteristics. The biodegradation terms are split from the transport terms and treated as a system of ordinary differential equations. Numerical results for vertical cross-sectional flow are presented. The effects of variable hydraulic conductivity and variable linear adsorption are studied. 相似文献
997.
IntroductionTheshallowwaterequationsareanimportantmathematicalmodelforavarietyofprobleminhydraulicengineering .Inrecentyears,therehasbeeninterestinthenumericalsolutionfortheshallowwaterequations.Thenumericalsimulationsfortheshallowwaterequationsystemcanbeappliedtomanypurposes .First,itcanserveasameansformodelingtidalfluctuationsforthosenterestedincapturingtidalenergyforcommercialpurposes.Secondly ,thesesimulationscanbeusedtocomputetidalrangesandsurgessuchashurricanesandtsunamiscausedbyextreme… 相似文献
998.
L. F. Yang Q. S. Li A. Y. T. Leung Y. L. Zhao G. Q. Li 《European Journal of Mechanics - A/Solids》2002,21(6):104
Linear and non-linear peaky fuzzy numbers and their arithmetic operations are constructed for the analysis of engineering structures with fuzzy characteristic quantities. Fuzziness of the corresponding quantities is consistently incorporated into the functional of the total potential energy. A set of deterministic recursive equations is obtained as the alternative expressions of the fuzzy variational principle by means of the second-order perturbation technique. The fuzzy Ritz method and the fuzzy finite element method are presented as the applications of the fuzzy variational principle. Accordingly, the roundabout procedures frequently used in the formulations of the fuzzy finite element method are avoided. A benchmark problem of a bending beam with fuzzy Young's modulus under fuzzy external loading is solved by the developed fuzzy numerical methods. Numerical examples show that results determined by these two fuzzy methods are both little conservative, and are in good agreement with those obtained by the analytical method. Moreover, the fuzzy Ritz method or the fuzzy finite element method can provide more valuable information than the conventional deterministic methods. 相似文献
999.
Frédéric Barbeu Vaclav Sobolik Serguei Martemianov Laurent Gbahoue 《Comptes Rendus Mecanique》2002,330(6):433-436
The present paper demonstrates how the directional characteristics of an actual three-segment electrodiffusional sensor can be calculated from the probe image. It was shown that utilization of ‘ideal’ directional characteristics lead to an important (up to 15°) error in flow angle determination. The directional characteristics calculated from the probe image improve significantly (up to 50%) the accuracy of the flow angle measurements. To cite this article: F. Barbeu et al., C. R. Mecanique 330 (2002) 433–436. 相似文献
1000.