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1.
推广应用功的互等定理法(RTM)于求解基于Reissner理论的厚矩形板的弯曲问题，给出了二对边简支另两边固定厚矩形板在均布载荷作用下弯曲的精确解析解，并分析了解的数值结果． 相似文献
2.
在本文中，功的互等法（RTM）被推广应用于求解基于Reissner理论的厚矩形板的弯曲问题，得到了在任意一点作用集中荷载矩形厚板弯曲问题的解析解，并给出了具有实价的计算结果。 相似文献
3.
由薄板的基本方程出发,考虑粘弹性层与基板、约束层间的法向和切向相互作用力的影响,导出部分带状覆盖被动约束层阻尼（Passive Constrained Layer Damping,PCLD）板在两端简支另两端任意边界情况下的一阶常微分矩阵方程,方程的状态向量由4个独立的位移变量和内力变量组成,可方便地应用于位移和应力边界条件。同时,利用精细积分法和传递矩阵原理求解特征方程,计算了多种情况下PCLD板的固有频率和损耗因子。通过与参考文献结果相比,验证了本文方法的正确性。最后,分析了覆盖位置和覆盖率对结构减振特性的影响。 相似文献
4.
This paper is concerned with the free vibration analysis of open circular cylindrical shells with either the two straight edges or the two curved edges simply supported and the remaining two edges supported by arbitrary classical boundary conditions. Based on the Donnell-Mushtari-Vlasov thin shell theory, an analytical solution of the traveling wave form along the simply supported edges and the modal wave form along the remaining two edges is obtained. With such a unidirectional traveling wave form solution, the method of the reverberation-ray matrix is introduced to derive the equation of natural frequencies of the shell with different classical boundary conditions. The exact solutions for natural frequencies of the open circular cylindrical shell are obtained with the employment of a golden section search algorithm. The calculation results are compared with those obtained by the finite element method and the methods in the available literature. The influence of length, thickness, radius, included angle, and the boundary conditions of the open circular cylindrical shell on the natural frequencies is investigated. The exact calculation results can be used as benchmark values for researchers to check their numerical methods and for engineers to design structures with thin shell components. 相似文献
5.
To figure out the distribution of temperature gradient along the girder height of steel-concrete composite box girder, combined with the mechanical characteristics of prestressed concrete composed box girder with corrugated steel webs, the calculation formulas of cross-sectional temperature stress along the span in a simply-supported beam bridge with composite section were derived under the conditions of static equilibrium and deformation compatibility of the beam element. The methods of calculating the maximum temperature stress value were discussed when the connectors are assumed rigid or flexible. Theoretical and numerical results indicate that the method proposed shows better precision for the calculation of temperature self-stress in both the top and the bottom surfaces of the box girder. Moreover, the regularity of temperature stress distribution at different locations along the girder span is that the largest axial force of the top or the bottom plate of the box girder is located in the midspan and spreads decreasingly until zero at both supported ends, and that the greatest longitudinal shear density in steel-concrete interface appears at both supported ends and then reduces gradually to zero in the midspan. 相似文献
6.
Thermal-mechanical behavior of functionally graded thick plates, with one pair of opposite edges simply supported, is investigated based on 3D thermoelasticity. As for the arbitrary boundary conditions, a semi-analytical solution is presented via a hybrid approach combining the state space method and the technique of differential quadrature. The temperature field in the plate is determined according to the steady-state 3D thermal conduction. The Mori-Tanaka method with a power-law volume fraction profile is used to predict the effective material properties including the bulk and shear moduli, while the effective coefficient of thermal expansion and the thermal conductivity are estimated using other micromechanics-based models. To facilitate the implementation of state space analysis through the thickness direction, the approximate laminate model is employed to reduce the inhomogeneous plate into a homogeneous laminate that delivers a state equation with constant coefficients. The present solutions are validated by comparisons with the exact ones for both thin and thick plates. Effects of gradient indices, volume fraction of ceramics, and boundary conditions on the thermomechanical behavior of functionally graded plates are discussed. 相似文献
7.
With the terms of the exact series solution taken as trial functions, the method of point collocation was used to calculate the large deflection of a circular plate. The axisymmetrical bending formulae were developed for the calculation of a circular plate subjected to polynomial distributed loads, a concentrated load at the center, uniform radial forces and moments along the edge or their combinations. The support may be elastic. The buckling load was calculated. Under action of uniformly distributed load, central load or their compound load, solutions were compared with those obtained by other methods, Buckling beyond critical thrust was compared with that calculated by the power series method. The method presented in this paper has advantages of wide convergent range, high precision and short computing time. Moreover, the computing time is nearly independent of the complexity of the loads. 相似文献
8.
In this paper,we give all-sided pastic analysis of the rectangular slab with three edges simply-supported and other free.Here we discuss the following four cases:(1)The uniformly distributedload over the area a slab.(2).A concentrated load act at midpoint of free edges slab.(3)A concen-trated load act at the center a slab.(4)The line load act along free edge of slab. 相似文献
9.
功的互等法解静水压力作用下厚矩形板的弯曲 总被引：3，自引：0，他引：3
应用功的互等法(RTM)求解基于Reissner理论的厚矩形板的弯曲问题，给出了三边简支一边固定厚矩形板在静水压力作用下弯曲的封闭解析解，并给出了该种情况下的曲线图。 相似文献
10.
应用功的互等法（RTM）求解基于Reissner理论厚矩形板的弯曲问题,给出了对边简支另两边固定边界条件下厚矩形板在静水压力作用下弯曲的封闭解析解,并给出了该种情况下的曲线图. 相似文献
11.
利用哈密顿体系以及辛几何中的分离变量和本征函数展开的方法,给出了求解对边固支另两边简支的矩形薄板弯曲问题的方法,并通过实例计算和分析说明了该方法的正确性. 相似文献
12.
A bi-harmonic potential function was constructed in this study. Love solution was employed to obtain analytical solutions of uniformly loaded plates with two different types of clamped edges. The treatment of clamped boundary conditions was the same as that adopted by Timoshenko and Goodier （1970）. The analytical solution for the first type of clamped boundary condition is identical with that obtained by Luo et al.（2004）, and the solutions for both types were compared with the FEM results and the calculations of thin plate theory. 相似文献
13.
Cubic Spline Solutions of Nonlinear Bending and Buckling of Circular Plates with Arbitrarily Variable Thickness 总被引：2，自引：0，他引：2
The cubic B-splines taken as trial function, the large deflection of a circular plate with arbitrarily variable thickness,as well as the buckling load, have been calculated by the method of point collocation. The support can be elastic. Loads imposed can be polynomial distributed loads, uniformly distributed radial forces or moments along the edge respectively or their combinations. Convergent solutions can still be obtained by this method under the load whose value is in great excess of normal one. Under the action of the uniformly distributed loads, linear solutions of circular plates with linearly or quadratically variable thickness are compared with those obtained by the parameter method. Buckling of a circular plate with identical thickness beyond critical thrust is compared with those obtained by the power series method. 相似文献
14.
刘成武 《福建工程学院学报》2012,(1):37-40
在ANSYS环境下,以对边简支的自由矩形板作为车身壁板的简化模型作为研究对象,讨论了在不同材料下、不同厚度下板的各阶固有频率的变化并进行加筋板和无加筋板的对比,对不同形式的加筋板结构布置形式进行分析和评价,从理论上指导了加筋板在车身壁板振动特性优化上的应用。结果表明,采用合理的材料、合理的加筋形式,对车身壁板的振动特性都有着很大的影响。 相似文献
15.
Steel plates are widely used in various structures, such as the deck and bodies of ships and bridges, and in the aerospace industry. In many instances, these plates are subjected to axial compression loads that predispose the sheets to instability and buckling. In this study, we investigate the buckling and post-buckling behaviors of steel plates having groove-shaped cutouts of various dimensions and angles using finite element method (FEM) (by ABAQUS software) and experimental tests (by an Instron servohydraulic machine). Boundary conditions were clamped by supports at upper and lower ends and free supports at the other edges. The results of both numerical and experimental analyses are compared, which show a very good agreement between them. Finally, based on the experimental findings, formulas are presented for the determination of the buckling load of such plates. 相似文献
16.
先用正则摄动法求得摄动展开中的各阶函数 ,然后以此函数作为试函数 ,采用加权残值法计算待定系数 ,从而得出其近似解 文中给出了均布荷载作用下周边固支圆板的算例 ,结果表明 ,其结果与摄动解相比具有更高的精度 相似文献
17.
钢筋砼L-形截面双向拉弯构件正截面承载力的研究 总被引：1，自引：0，他引：1
对钢筋砼 L-形截面双向拉弯构件的正截面承载力进行了研究 ,还对三根钢筋砼 L-形截面双向拉弯构件进行了试验研究 .编制了计算机程序 ,可用于各种类型截面的计算 ;并用此程序对 L-形截面在双向拉弯作用下的 N- M相关曲线、等轴力下的 Mx- My相关曲线进行了计算分析 ,理论计算结果与试验结果吻合较好 相似文献
18.
CARRERA E. GIUNTA G. BRISCHETTO S. 《浙江大学学报(A卷英文版)》2007,8(7):1026-1037
3D and 2D closed form plate models are here applied to static analysis of simply supported square isotropic plates. 2D theories are hierarchically classified on the basis of the accuracy of the displacements and stresses obtained by comparison to the 3D exact results that could be assumed by the reader as benchmark for further analyses. Attention is mainly paid on localized loading conditions, that is, piecewise constant load. Also bi-sinusoidal and uniformly distributed loadings are taken into account. All of those configurations are considered in order to investigate the behavior of the 2D models in the case of continu- ous/uncontinuous, centric or off-centric loading conditions. The ratio between the side length a and the plate thickness h has been assumed as analysis parameter. Higher order 2D models yield accurate results for any considered load condition in the case of moderately thick plates, a/h=10. In the case of thick plates, a/h=5, and continuous/uncontinuous centric loading conditions high accuracy is also obtained. For the considered off-centric load condition and thick plates good results are provided for some output quantities. A better solution could be achieved by simply increasing the polynomial approximation order of the axiomatic 2D displacement field. 相似文献
19.
利用影响线计算力偶作用时梁的内力和反力 总被引：1，自引：0，他引：1
刘永丰 《扬州职业大学学报》2007,11(4):28-30
将力偶分解为等值、反向、平行的两个力,当荷载(集中荷载、分布荷载和力偶)位置已知时,利用影响线计算梁的内力和反力,并与截面法计算结果作一比较。 相似文献
20.
Allan M. Bloom 《Research in higher education》1983,18(2):179-193
Teaching load formulas to provide for differential program productivity ratios are in wide use. However, the various sets of differential weights on student credit hours (SCH) in use tend to be the result of historical accident, negotiation, or limited cost studies. To bring a unity into these formulas, a new statistical methodology applied to three years of teaching load data from 21 major public universities has yielded an objective, broadly applicable set of SCH weight factors. Those weights give promise of providing comparison of instructional productivity via unobtrusive measures. A table of optimum weighting factors for upper division and graduate SCH (relative to lower division) is presented by NCES Code discipline division. The weights derived from analysis are then compared with those developed by more traditional means. 相似文献