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121.
利用简正模态法研究各种集中载荷和分布载荷作用下单对称轴向受载的Timoshenko薄壁梁的弯扭耦合动力响应。该弯扭耦合梁所受到的载荷可以是集中载荷或沿着梁长度分布的分布载荷。目前研究中采用考虑了轴向载荷、剪切变形和转动惯量影响的Timoshenko薄壁梁理论。首先建立轴向受载的Timoshenko薄壁梁结构的普遍运动微分方程并进行其自由振动的分析。一旦得到轴向受载的Timoshenko薄壁梁的固有频率和模态形状,利用简正模态法计算薄壁梁结构的弯扭耦合动力响应。针对具体算例,提出并讨论了动力弯曲位移和扭转位移的数值结果。 相似文献
122.
123.
为得到复合材料薄壁结构机械连接件中各承力元件的内力和变形情况,确定各承载紧固孔的旁路载荷(PPL)和钉传载荷(Pdc),以便合理地进行连接件的细节设计和强度分析,本文基于迭层板“等效弹性模量”概念,提出了一套工程实用的复合材料结构连接件细节内力分析的有限元方法。所编制的计算程序适用于对实际结构中各种机械连接型式和各种平面受载情况的内力计算和分析。 相似文献
124.
V. I. Gulyaev 《International Applied Mechanics》2003,39(5):525-545
This paper addresses issues of the theoretical dynamic analysis of elastic links making large relative translational and rotational motions. Mathematical models and analysis techniques for elastic vibrations of such systems are described. Examples of applied problems are adduced 相似文献
125.
本文在梁的整体屈曲分析中,废除了传统的刚性截面假定(刚周边假定),允许梁截面自由地歪曲,进而研究了薄壁截面梁的歪曲屈曲性能。分析中采用了样条有限条法,考虑了各种不同的荷载形式、支承条件和边界约束。这一方法与有限元法相比较,计算工作量大大地减少。数值计算结果表明,在梁长细比的较大范围内,歪曲屈曲模型对梁的设计起控制作用。 相似文献
126.
An approach is proposed to investigate an axisymmetric system consisting of an infinite thin elastic cylindrical shell that
contains a potential flow of perfect compressible fluid and a periodically vibrating spherical inclusion. The approach emerged
as part of a project devoted to developing methods to bring plugged oil wells back into production by the Vibration Theory
Department of the S. P. Timoshenko Institute of Mechanics. This mathematical approach allows transforming the general solutions
to equations of mathematical physics from one coordinate system to another to obtain an exact analytical solution (in the
form of Fourier series) to interaction problems for systems of rigid and elastic bodies
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 16–31, September 2006. 相似文献
127.
Y. Z. Totoev 《International Applied Mechanics》2003,39(5):621-630
An efficient nontraditional scheme of the substructuring method is expounded. It is based on the curvilinear mesh method (CMM) used for analysis of complex shell structures. In forming the stiffness matrix, this approach excludes fully the shell displacement approximation errors. A numerical algorithm that preserves the efficiency of the CMM for shells of arbitrary form is developed. The stress–strain problem for a boxed beam with diaphragms and a cylindrical roof shell is solved numerically. The results are compared with those obtained by other numerical methods 相似文献
128.
129.
A method of localization is proposed to lower the high order of equations in FEM calculation for the stability of a complex
thin-walled structure. The localized analysis enables us to obtain both the upper and lower limits for the bifurcating point
in a whole linear-elastic structural system, as well as an approximate solution to asymptotic post-buckling problem. Some
numerical examples are included.
Project supported by National Natural Science Foundation of China 相似文献
130.
An in-depth analysis of propagation characteristics of elasto-plastic combined stress waves in circular thin-walled tubes
has been made. In obtaining the simple-wave solution, however, most researches have ignored the influence of the circumferential
stress related to the radial inertial effect in the tubes. In this paper the incremental elasto-plastic constitutive relations
which are convenient for dynamic numerical analysis are adopted, and the finite-difference method is used to study the evolution
and propagation of elasto-plastic combined stress waves in a thin-walled tube with the radial inertial effect of the tube
considered. The calculation results are compared with those obtained when the radial inertial effect is not considered. The
calculation results show that the radial inertial effect of a tube has a fairly great influence on the propagation of elasto-plastic
combined stress waves.
Project supported by the National Natural Science Foundation of China (No. 19572064) and the National Defence Preresearch
Foundation (No. 96J11. 4. 4. 0102). 相似文献