薄壳理论

采用弹性薄壳理论和Fourier变换方法导出了散射声场的解析解。

The analytic solutions of scattering field are derived using elastic thin shell theory and Fourier transform .

基于Donnell薄壳理论和相邻平衡准则，建立了含环向贯穿脱层复合材料层合圆柱壳屈曲问题的解析分析模型，探求了一种有效的解析求解方法。

Based on the Donnell thin shell theory and the adjacent equilibrium criterion , an analytic model for buckling problems of composite laminated cylindrical shells with throughout circumference delamination is established .

壳体振动采用经典的Flügge薄壳理论来描述。

The shell motion is described by Fl ü gge thin shell theory .

此理论具有量级为h/λ的误差，因此达到了与基于Kirchhoff假设的薄壳理论本身相同的精确度。

The second-order approximation theory has the same degree of accuracy as the theory of thin shells itself , based on the Kirchhoff 's hypotheses .

它们的误差都是在Love-Kirchhoff假设的薄壳理论的允许误差范围之内。

Their errors are within the margins allowed in the classical theory based on the Love-Kirchhoff assumptions .

采用基于Kirchhoff-Love假设的薄壳理论，用双富立叶级数表示柱坐标下三个位移分量，得到一个近似级数解。

By employing the classical Kirchhoff shell theory , an approximate solution is obtained in which double trigonometric series are used to express the three displacement components .

本文依据Kirchhoff薄壳理论与J2塑性流动理论，提出了分析轴对称刚性冲头胀形成形的大变形弹塑性拉格朗日有限元分析的数学模型。

According to Kirchhoff 's theory of elastic-plastic finite deformation of thin shell and the theory of J2 plastic flow , a mathematical model is proposed for large deformation elastic-plastic Lagrangian finite element analysis of rigid punch made of thin metal plate .

为了深入探讨波纹管的力学特性，基于Sanders非线性薄壳理论，用有限元法对其进行了非轴对称几何非线性分析。

Bellows is widely used as flexible joint and elastic element in such fields as petrochemicals and micro machines . This paper studies the asymmetrically geometric nonlinear problems for arbitrarily loaded bellows using the finite element method based on the thin shells theory of Sanders .

基于Sanders小应变、中等转动薄壳理论，通过引入伪载荷而建立起一个形式简单、易于实施的迭代格式，并进行了数值求解。

Based on the small strains , moderately small rotation nonlinear thin shells theory of Sanders , by treating the nonlinear coupling terms as " pseudo loads " and grouping them with the temperature loads , a kind of facile iteration procedure is established and solved .

基于Kennard薄壳理论、Helmholtz方程以及壳壁外表面的运动协调条件，并借助Diracδ函数引进肋骨对壳体的作用，从而建立耦合系统的运动方程。

The equations of motion for the free vibration of the coupling system are derived by the use of Kennard 's thin shell theory and Helmholtz equation and the coupling conditions on the surface of the shell as well as Dirac - δ function .

首先基于Donnell薄壳理论和初始后屈曲理论的相邻平衡准则，建立了复合材料脱层圆柱壳的屈曲微分方程以及相应的边界条件、位移连续条件和力平衡条件。

Based on Donnell thin shell theory and the adjacent equilibrium criterion of initial postbuckling theory , the basic buckling equations for composite laminated cylindrical shell were founded , and the boundary conditions , the continuous conditions of displacements and the equilibrium conditions of the force were determined .

薄壳理论用于干式柔膜密封储气罐的计算

Calculation of waterless gasholder with flexible sealing by thin shell theory

薄壳理论用于厚壳的实验验证

Test Verification of the Application of Shell Theory to Thick Shell

非线性薄壳理论的研究

Studies of Nonlinear Theories for Thin Shells

压电圆管换能器振动特性的薄壳理论分析

Vibration characteristics of piezoelectric cylindrical shell transducers

并通过算例分析，验证了这些薄壳理论解与有限元结果的一致性。

An example is given to validate the conformity between the theoretical and the finite element results .

圆柱壳大开孔接管的薄壳理论解及其实验验证

Thin Shell Theory Solutions of Two Normally Intersecting Cylindrical Shells for Large Diameter Ratio and Its Verification

根据弹性薄壳理论，从自由振动入手，求得球壳振动的固有频率和振型。

Based on the theories of elastic thin shells , natural frequencies , vibration modals and response are calculated .

基于环和薄壳理论基础上，建立了柔轮在不同波发生器工作情况下的数学模型；

The mathematic model of flexible wheel is established based on ring and shell theory when different wave producers work .

对于带金属内衬的纤维缠绕内压容器，采用叠层薄壳理论进行了分析。

A filament wound inner pressure vessel with an inner metal bladder is analysed by a theory of laminated thin shell .

求解该方程式，导出了具有薄壳理论同样精度的圆锥壳的简化解。

By solving this equation , a simplified solution having the same accuracy as thin walled shell theory for conical shells is derived .

最后根据弹性薄壳理论，对球状隔膜进行了应力分析，推导出隔膜受均布内压时的应力、应变计算公式。

At last , a calculation formula of stress and strain is derived in mean distribution inter pressure by the theory of elastic shell .

基于薄壳理论解，本文还得到了内压作用下的圆柱壳开孔接管的一种有效的工程设计方法及相应的设计曲线。

A design procedure of two normally intersecting cylindrical shells subjected to internal pressure p based on the thin shell theory solutions has been given .

通过构造位移函数，利用边界条件和圆柱薄壳理论，得出轧辊各处残余应力的解析解，在理论和工程实际应用中有很大的价值。

The analytic solution of residual stress is given through constructing the displacement function satisfying all boundary conditions and the theory of the axisymmetry column thin shell .

基于最一般情况，借助线弹性薄壳理论，建立了加肋圆柱壳声辐射计算模型，分析模型考虑了环肋和舱壁对圆柱壳的径向、切向、纵向作用力以及纵向弯矩。

Used linear elastic shell theory , builded a acoustic-shell coupling model , which considered all reacted forces and moments between rings , bulkheads and cylindrical shell .

由于方钢管焊接空心球壳薄壳理论公式比较复杂，应用解析法很难求得其解析解，最后采用有限元方法对其进行了弹性分析。

Because of the complex of the shell theory and the boundary condition , the analytical solution is very difficult to achieve for the current problem got .

本文采用薄壳理论对大型钢筋混凝土筒仓圆锥壳仓底内力的计算公式进行了推导，并和相关规范公式算法进行了比较。

In this paper , the formulas to calculate the internal force in huge RC silo bottom are deduced , and the comparison with relative specifications is drawn .

基于薄壳理论，首次用8节点曲壳超参数单元的有限元法建立了柔轮筒体的动态计算模型。

On the basis of Membrane Shell Theory , a finite element modal is set up to calculate natural frequencies and mode shapes of flexspline of a harmonic drive .

根据工程实际，利用弹性薄壳理论，将直埋管道直管段作为柱壳建立物理模型，并在相应曲线坐标下，对作用于管道上的荷载进行受力分析。

Based on the fact , regarding the pipe of direct-buried pipe as cylindrical shell , the article establishes curvilinear coordinates , and analyzes the loading on the pipe .

二次近似解达到薄壳理论所具有的精度，一次近似解也具有足够精度。

The second approximation of the solution is of the same accuracy as theory of thin shells , and the first approximation is also sufficiently precise for engineering computation .