THE CONSTRUCTION OF WAVELET-BASED TRUNCATED CONICAL SHELL ELEMENT USING B-SPLINE WAVELET ON THE INTERVAL

Based on B-spline wavelet on the interval (BSWI), two classes of truncated conicalshell elements were constructed to solve axisymmetric problems, i.e. BSWI thin truncated conicalshell element and BSWI moderately thick truncated conical shell element with independent slope-deformation interpolation. In the construction of wavelet-based element, instead of traditionalpolynomial interpolation, the scaling functions of BSWI were employed to form the shape functionsthrough the constructed elemental transformation matrix,and then construct BSWI element viathe variational principle. Unlike the process of direct wavelets adding in the wavelet Galerkinmethod, the elemental displacement field represented by the coefficients of wavelets expansionwas transformed into edges and internal modes via the constructed transformation matrix. BSWIelement combines the accuracy of B-spline function approximation and various wavelet-basedelements for structural analysis. Some static and dynamic numerical examples of conical shellswere studied to demonstrate the present element with higher efficiency and precision than thetraditional element.  

NON-SYMMETRICAL LARGE DEFORMATION OFA SHALLOW THIN CONICAL SHELL

I.IntroductionItisimportanttoresearchnon-symmetricalquestionsofshallowcollicalshellsintheoryoronapplication.Asonekindofpressurevessel'sparts,shallowconicalshellsareverycommonlyusedillellgineerillgpractice,becausethedifficultyofmanul\lctul.illgthemis'small.AlthotlghwelookupmanyChineseandtbreignperiodicalswhicharctlblctobefound,wehavenotyeth'ulldarticlesanddocumentsfornon-symmetricalandnolllinearquestionsofshitllowconictllshells.Oval'rccelltyears,ProlbssorWangXinzhiandhiscolleagueshavedonealot…  

圆锥壳自由振动传递函数解

本文在线性弹性理论基础上，给出了一种求解圆锥薄壳自由振动的渐进传递函数解法，壳体的三个位移分量，外力和边界条件首先沿环向展开的Ｆｏｕｒｉｅｒ级数，然后关于时间变量进行Ｌａｐｌａｃｅ变换，这样就将壳体的控制方程化为一系列含复参数ｓ的变系数常微分方程组，通过定义状态变量。得到了壳体动力学问题的状态空间控制微分方程，引入一小参数，并利用摄动技术就可以得到微分方程的渐进传递函数解，将各于锥段的解进行综合，  

锥壳固有振动的精确解

本文从锥壳的Mushtari-Donnell型位移微分方程组出发,通过引入一个位移函数U(s,θ,τ)(在极限情况下,它将退化成对于圆柱壳引入的位移函数),将基本微分方程组化成为一个可解偏微分方程。这个方程的解用级数形式给出。  

加速旋转变厚度锥壳和圆盘中的应力

通过求解球坐系中的弹性力学平衡方程，得到线性变厚度锥壳和圆盘在角加速旋转中位移和应力的封闭形式解，从而发现锥壳式圆盘中的剪应力只与几何尺寸、材料密度和角加速度有关，而与材料的弹性常数无关，文末的数字结果表明，变厚度圆盘的变形和应力与等厚度圆盘相比有较大的不同。  

轴向冲击载荷作用下锥壳中弹性应力波传播的计算和实验研究

本文利用有限元分析和模型实验研究了在轴向冲击载荷作用下,锥壳中弹性应力波的传播、计算和实验结果表明,结构中存在着弹性纵波和弹性弯曲波的传播,它们传播的速度各不相同,使壳面承受不同的应力状态;讨论了纵波和弯曲波随壳面的衰减;实验指出,由于边界的影响,即使纵波的反射也会产生新的反射弯曲波沿锥面传播。  

Physically and geometrically nonlinear deformation of conical shells with an elliptic hole

The elastoplastic state of conical shells weakened by an elliptic hole and subjected to finite deflections is studied. The material of the shells is assumed to be isotropic and homogeneous; the load is constant internal pressure. The problem is formulated and a technique for numerical solution with allowance for physical and geometrical nonlinearities is proposed. The distribution of stresses, strains, and displacements along the hole boundary and in the zones of their concentration is studied. The solution obtained is compared with the solutions of the physically and geometrically nonlinear problems and a numerical solution of the linear elastic problem. The stress-strain state around an elliptic hole in a conical shell is analyzed considering both nonlinearities __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 69–77, February 2008.  

圆锥壳轴对称弯曲问题精确的四阶挠度微分方程和贝塞尔函数解

本文提出了轴对称圆锥壳精确的四阶挠度微分方程。和现行薄壳理论中常用的四阶剪力Q_1微分方程相比,挠度微分方程与其精度相同,阶数相同,而且满足边界条件简单,使圆锥壳的计算得到很大的简化。  

在均布外压作用下复合材料三角形网格加筋圆锥壳体总体稳定性分析

本文在文献[1]的基础上加以推广,分析了在均布外压作用下复合材料三角形网格加筋圆锥壳体总体稳定性,考虑了蒙皮的正交拉弯耦合效应和加筋筋条的偏心效应.基于外压实验观察结果,通过选择恰当的位移分量表达式,本文利用Galerkin法获得了临界外压的近似表达式,并对某一C/E复合材料三角形内网格加筋圆锥壳体的临界外压值进行了理论计算,所得结果与实验值相当吻合.文中所得结果可供工程应用参考.  

经典锥壳理论的新发展

本文在评述前人有关锥壳理论研究的基础上,介绍了我国学者近年来的一系列研究成果.