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扁壳单元中引入结点转角自由度可以在不增加结点的情况下,增加位移场的阶次,提高计算精度,从而显著地提高单元性能。同时在单元中引入泡状位移场,能有效地扩大了单元位移场的解空间,所构造的单元具有计算精度高、对计算网格畸变不敏感的优良特性。本文利用广义协调薄板单元RGC-12的位移函数作为扁壳元的法向位移,利广义协调矩形膜元的位移函数作为扁壳面的切向位移,通过附加面内转动自由度构造了一个具有24个自由度的4结点广义协调曲面矩形扁壳元GRC-S24。在此基础上再增加一个广义泡状位移,又构造了一个具有更高计算精度的曲面矩形扁壳元GRC-S24M。并通过实例分析对这两个单元的收敛性和精度进行了验证。 相似文献
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用有限个横向条带法构造了板桁组合结构板段考虑局部屈曲的空间位移模式。基于三维连续体的虚功增量方程,导出了横向条带板段单元的UL列式,并考虑了板段单元位形变化的影响。此计算方法自由度少,计算精度高,能用于大型板桁结构的几何非线性分析。文末计算了广东西江桥板桁组合结构模型梁,计算结果与实测结果吻合较好。 相似文献
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用有限个横条带法构造了板桁组合结构板段考虑局部屈曲的空间位移模式,基于三维连续体的虚功增量方程,导出了横向条带板段单元的UL列式,并考虑了板段单元位形变化的影响,此计算方法自由度少,计算精度高,能用于大型板桁结构的几何非线性分析,文末计算了广东西江桥板桁组合结构模型梁,计算结果与实测结果吻合较好。 相似文献
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将多尺度方法的思想与超收敛计算的解析公式结合起来,提出了改进有限元位移模式的算法。利用超收敛计算的解析公式,将高阶有限元解的位移模式用常规有限元解的位移模式表示。用常规有限元解的位移模式与高阶有限元解的位移模式之和构造新的位移模式,采用积分形式推导了单元刚度矩阵。该算法在前处理和后处理两个阶段都使用超收敛计算公式,在常规试函数的基础上,增加了高阶试函数,使得单元内平衡方程的残差减少,从而达到提高精度的目标。对于线性单元,本文结点和单元的位移、导数都达到了h4阶的超收敛精度。 相似文献
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提出了基于改进位移模式的一维C1有限元超收敛算法。利用单元内部需满足平衡方程的条件,推导了超收敛计算解析公式的显式,即将高阶有限元解的位移模式用常规有限元解的位移模式表示。用常规有限元解的位移模式与高阶有限元解的位移模式之和构造新的位移模式。采用积分形式推导了单元刚度矩阵。该算法在前处理阶段使用了超收敛计算公式,在常规试函数的基础上,增加了高阶试函数,使得单元内平衡方程的残差减少,从而达到提高精度的目标。对于Hermite单元,本文的结点和单元的位移、导数都达到了h4阶的超收敛精度。 相似文献
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部分共同作用框架组合梁有限元分析模型 总被引:1,自引:0,他引:1
本文提出了一种新的适用框架整体分析的组合梁有限元模型。在分析了相互作用程度对组合梁刚度影响的基础上,根据Newmark等人的一维部分相互作用理论,建立起部分共同作用组合梁平衡微分方程;结合框架组合梁受力特点引入合理的边界条件,推导出了能够考虑滑移的组合梁单元弹性刚度方程;还给出了常见非节点荷载的等效荷载公式。该组合梁单元节点自由度少,每个构件只需一个单元来模拟,方便了带组合梁钢框架的结构分析。本文的研究还为进一步地考虑混凝土开裂、压碎,钢材屈服等非线性因素,建立组合梁单元弹塑性刚度矩阵提供了理论基础。 相似文献
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姜文光 《应用数学和力学(英文版)》2006,27(12):1709-1718
Beams and plates manufactured from laminates of composite materials have distinct advantages in a significant number of applications. However, the anisotropy arising from these materials adds a significant degree of complexity, and thus time, to the stress and deformation analyses of such components, even using numerical approaches such as finite elements. The analysis of composite laminate beams subjected to uniform extension, bending, and/or twisting loads was performed by a novel implementation of the usual finite element method. Due to the symmetric features of the deformations, only a thin slice of the beam to be analysed needs to be modelled. Conventional three-dimensional solid finite elements were used for the structural discretization. The accurate deformation relationships were formulated and implemented through the coupling of nodal translational degrees of freedom in the numerical analysis. A sample solution for a rectangular composite laminate beam is presented to show the validity and accuracy of the proposed method. 相似文献
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尹邦信 《应用数学和力学(英文版)》1999,20(7):773-780
IntroductionAscompositesareextensivelyappliedinmodernengineringstructuresandmechanicsofcomplexmaterialshasbenhighlyadvanced,i... 相似文献
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周祝林 《应用数学和力学(英文版)》1993,14(11):1071-1078
In this paper, the conclusion that the experimental results coincide with theoretical analysis has been got through buckling
test of 283 composite rectangular plates. It is confirmed that the critical loads of composite plates calculated by buckling
theoretical formula of anisotropic plate are reliable. The selections of optimal content of matrix and optimal off-axis which
make fiber reinforced composite plates reach biggest critical loads are also discussed in this paper. The result of analysis
may be used in the design for the products. 相似文献
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This paper presents a novel geometric non-linear finite element formulation for the analysis of shear deformable two-layer beams with interlayer slips. We adopt the co-rotational approach where the motion of the element is decomposed into two parts: a rigid body motion which defines a local coordinate system and a small deformational motion of the element relative to this local coordinate system. The main advantage of this approach is that the transformation matrices relating local and global quantities are independent to the choice of the geometrical linear local element. The effect of transverse shear deformation of the layers is taken into account by assuming that each layer behaves as a Timoshenko beam element. The layers are assumed to be continuously connected and partial interaction is considered by considering a continuous relationship between the interface shear flow and the corresponding slip. In order to avoid curvature and shear locking phenomena, the local linear element is formulated using “exact” displacement shape functions derived from the closed-form solution of the governing equations of a two-layer beam element. Finally, three numerical applications are presented in order to assess the performance of the proposed formulation. 相似文献
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对自锚式悬索桥的主梁施工方法进行了总结与评价,指出顶推施工的钢混组合主梁即使在均匀成桥吊杆的作用下,其成桥线形仍会在最大跨临时墩范围内发生局部凹陷的情况,而主梁施工预拱度也不能采取圆曲线或二次抛物线在各跨径内统一布置。鉴于此,本文基于有限单元法对一座自锚式悬索桥的施工过程进行正装模拟分析,计算结果表明,钢混组合梁截面性质改变是引起主梁成桥线形存在凹陷的本质原因;同时将成桥状态的主梁简化为承受竖向均布荷载和梁端集中水平力作用的三跨连续梁结构,并采用力法推导了各跨跨中位置竖向位移的简化计算公式;经算例验证,本文提出的施工预拱度简化计算公式能够有效计入主梁截面性质改变对主梁成桥线形的影响,较准确地预测出主梁累计竖向位移,其计算精度满足工程需求,而本文的研究结论将对同类桥型的主梁施工预拱度设计有较强的指导意义和参考价值。 相似文献
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This paper deals with large amplitude free flexural vibrations of laminated composite plates using a 9-node Heterosis degenerated
isoparametric quadrilateral element, including the effects of transverse shear and rotary inertia. The nonlinear dynamic equations
of the plates are formulated in von Karman's sense. Amplitude-frequency relationships are obtained through dynamic response
history using the Newmark numerical integration scheme. Detailed numerical results based on various parameters are presented
for orthotropic laminated plates with different boundary conditions. The rectangular anti-symmetric cross-ply plates show
the softening type of nonlinearity for initial small amplitudes. The displacement amplitudes decrease and nonlinear frequencies
increase with the increment of time.
Supported by the NNSFC (No. 19672033), the National Key Project on Basic Research and Applied Research (PD9521904) and the
Doctoral Training Foundation of Education Commission of China(No. 98000304). 相似文献
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I.IntroductionTheengineeringstructuresareoftells,'1>:'rectcdtotheactionofthestochasticloadingthatvarieswiththetime,forexample,theengineeringstructuresactedonbytheearthquake,theoceanstructuresactedonbydynamicpressure,andthevehiclesofthetransportationinflue… 相似文献
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Haitao Han Zixing Lu Jordan Zheng Zhang 《Archive of Applied Mechanics (Ingenieur Archiv)》2012,82(4):573-589
Based on beam-shaped-function, the analytical solution for composite plates with arbitrary embedded delaminations is presented.
The deflection function of the delaminated plate is composed by those of beams with the corresponding loading and support
conditions, which can be easily and accurately derived from the beam analysis, and the deflection amplitude is derived by
the minimum potential energy principle. The closed form solutions of displacements, stresses, and energy release rate of a
composite plate containing an arbitrarily embedded rectangular delamination are obtained and compared with the three-dimensional
finite element results to validate the accuracy of this present method. Furthermore, the influences of delamination depth,
length, central position, and modulus mismatch ratio (E
1/E
2) of the upper and lower sublaminate on the energy release rate are discussed. 相似文献