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91.
基于PANDA自主并行计算平台,采用模态叠加法开展了多点基础激励作用下的随机振动响应分析算法设计和并行实现研究,构建了相应的并行求解模块。针对光机装置打靶样机中的六自由度平台结构,基于自主研发的软件模块,分析了该结构的模态特性及结构在地脉动载荷下的微振动响应,并与试验结果及商业软件分析结果进行了比对,在模态频率、振型和位移响应方面,都具有较好的一致性,验证了相关软件模块的正确性和PANDA平台在实际工程结构分析中的可用性。 相似文献
92.
In this paper the fundamental solution of the singular governing equation of plate static bending is taken as the Green's function, which can satisfy the governing equation precisely in the plate region. Based on the principle of superposition, let the function values on the plate boundary, induced by a set of the Green's function sources (including the known sources in the plate region and the unknown sources in the fictitious region), satisfy the prescribed conditions on specially chosen boundary matching points, and the corresponding semi-analytical and semi-numerical solution can be obtained, which is free from the restraint of boundary forms and boundary conditions. The more matching points there are on the boundary, the better the accuracy of results is. Finally, in static bending problems a set of linear algebraic equations has to be computed; in buckling problems the minimum value of buckling eigenvalue equation has to be found; in natural vibration problems the eigenvalues of the frequency equation have to be calculated. Numerical examples are given and the results are compared with those by the analytical method and other methods. It can be seen that they are very close to each other. 相似文献
93.
张英世 《应用数学和力学(英文版)》2000,21(7):783-790
IntroductionVibrationsofsteppedthinrectangularplateshavebeenresearchedbymechanicalworkers.ErcoliandLauraanalyzedvibrationsoftwo_stepthinrectangularplates[1],ZhangYingshietalstudiedvibrationsofn_stepone_waythinrectangularplatesonWinkler’sfoundation[1],ofn… 相似文献
94.
This paper analyses the bending of rectangular orthotropic plates on a Winkler elastic foundation.Appropriate definition of symplectic inner product and symplectic space formed by generalized displacements establish dual variables and dual equations in the symplectic space.The operator matrix of the equation set is proven to be a Hamilton operator matrix.Separation of variables and eigenfunction expansion creates a basis for analyzing the bending of rectangular orthotropic plates on Winkler elastic foundation and obtaining solutions for plates having any boundary condition.There is discussion of symplectic eigenvalue problems of orthotropic plates under two typical boundary conditions,with opposite sides simply supported and opposite sides clamped.Transcendental equations of eigenvalues and symplectic eigenvectors in analytical form given.Analytical solutions using two examples are presented to show the use of the new methods described in this paper.To verify the accuracy and convergence,a fully simply supported plate that is fully and simply supported under uniformly distributed load is used to compare the classical Navier method,the Levy method and the new method.Results show that the new technique has good accuracy and better convergence speed than other methods,especially in relation to internal forces.A fully clamped rectangular plate on Winkler foundation is solved to validate application of the new methods,with solutions compared to those produced by the Galerkin method. 相似文献
95.
在现有的Daubechies小波Ritz法中,为方便边界条件的引入,借助于位移转换矩阵将Daubechies小波待定系数转换为节点位移。但该方法会降低计算精度,并且计算结果是多个离散的单点位移,不利于进一步解得弯矩、剪力、荷载集度。为寻求更为高效精确的弹性地基梁计算方法,对现有的Daubechies小波Ritz法进行改进,以避免位移转换矩阵的出现,从而提高了计算精度。结合广义变分原理,采用Lagrange乘子法,将边界条件作为附加条件引入自然变分条件下的泛函表达式,构造新的修正泛函。以该修正泛函的驻值条件建立求解矩阵方程组,进而解得未知场函数。此法称为Daubechies条件小波Ritz法。该法计算结果直接是小波基函数待定系数,单元内部任意点的位移均可通过小波基函数得到,也可进一步解得弯矩、剪力、荷载集度,因此比原有方法更为有效。最后,采用受均布荷载的两端铰支弹性地基梁算例,将Daubechies条件小波Ritz法计算结果与基于弹性地基梁理论的解析解进行比较,挠度值(保留小数点后6位小数)与解析解完全一致,弯矩值的相对误差为0.03%,说明Daubechies条件小波Ritz法具有较高计算精度。 相似文献
96.
97.
为了满足三线阵CCD相机对刚度和稳定性的要求,提高相机测绘精度,本文在有限元优化分析的基础上完成了相机测绘基座的结构设计。对测绘基座的模态以及承受载荷情况下的自重变形以及自重变形引起的各相机光轴的变化量进行了分析。基于得到的测绘基座关键技术指标,研制了测绘基座专用的垂直度检测工具。对加工过程中测绘基座进行了跟踪检测,验证了该检测工具的可用性,确保测绘基座的几何精度。 相似文献
98.
《Applied Mathematical Modelling》2014,38(11-12):2848-2866
This paper presents an analytical investigation on the nonlinear response of thick functionally graded doubly curved shallow panels resting on elastic foundations and subjected to some conditions of mechanical, thermal, and thermomechanical loads. Material properties are assumed to be temperature independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. The formulations are based on higher order shear deformation shell theory taking into account geometrical nonlinearity, initial geometrical imperfection and Pasternak type elastic foundation. By applying Galerkin method, explicit relations of load-deflection curves for simply supported curved panels are determined. Effects of material and geometrical properties, in-plane boundary restraint, foundation stiffness and imperfection on the buckling and postbuckling loading capacity of the panels are analyzed and discussed. The novelty of this study results from accounting for higher order transverse shear deformation and panel-foundation interaction in analyzing nonlinear stability of thick functionally graded cylindrical and spherical panels. 相似文献
99.
100.