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1.
本文概述了充内压整体加劲圆柱壳承受轴压的稳定性的实验和理论研究结果.在非加劲圆柱壳和两种网格型整体加劲圆柱壳稳定性试验的基础上,讨论了充内压的整体加劲圆柱壳在轴压作用下的失稳特点.分析表明,可按过屈曲平衡状态的分歧点,近似地决定实际屈曲的总体失稳载荷.  相似文献   

2.
任意厚度层合开口柱壳的温度应力   总被引:1,自引:0,他引:1  
基于层合柱壳混合状态方程和边界条件的弱形式,建立了具有固支边的层合开口柱壳的温度应力混合方程,给出了任意厚度层合开口柱壳在温度荷载和机械荷载共同作用下的解析解。  相似文献   

3.
任意厚度层合闭口柱壳的轴对称温度应力   总被引:4,自引:0,他引:4  
丁克伟  唐立民 《计算力学学报》1998,15(2):161-166173
基于层合柱壳混合状态方程和边界条件的弱形式,在轴对称情况下,建立了两端固支层合闭口柱壳的温度应力混合方程,给出了任意厚层合柱壳在温度荷载和机械荷载共同作用下的解析解。  相似文献   

4.
变厚度圆柱壳的轴对称变形   总被引:6,自引:0,他引:6  
文献[1]用有限板条法求解了变厚度矩形板的稳定与振动问题。本文利用这个基本思想,把它推广到求解在任意支承下带封端和加劲环的变厚度圆柱壳的轴对称变形中去。文中导出了圆柱壳元的传递矩阵和节线的相关矩阵。相关矩阵的迁移同样从两端开始,同时向中间节线延伸。最后,只归结为解一个二元一次代数方程组。这样,计算既简便又迅速。  相似文献   

5.
板壳非线性问题的曲壳有限单元法   总被引:1,自引:0,他引:1  
本文基于总体Lagrange坐标描述法,采用Kirchhoff应力张量定义和Green应变张量定义,导出了分析板壳非线性问题的曲壳有限单元法。通过引入新的单元几何非线性关系,本文方法可用于分析板壳的大挠度大转角情况。由于采用了材料本构关系的修正子增量形式,提高了有限单元的分析计算精度。本文采用增量—拟牛顿—子增量迭代技术求解板壳的荷载一位移曲线,与传统迭代方法相比大大提高了计算效率。此外,对于板壳任意边界条件的形成和任意初始形状的考虑问题,本文分别导出了罚单元法和局部坐标转换法予以处理。经计算比较,证明本文方法可以有效地用于板壳的弯曲、屈曲及屈曲后性态和极限强度等问题的非线性分析。  相似文献   

6.
一种大变形曲壳单元   总被引:7,自引:0,他引:7  
本文用壳中面节点的位移矢量和节点处壳中面单位法线矢量的矢端位移矢量构造了一种大变形曲壳单元,它是大变形曲壳单元的一般形式,能包括已有的大变形曲壳单元,且公式最简单,计算中采用的载荷增量或位移增量可以很大。  相似文献   

7.
层合闭口厚柱壳的温度应力   总被引:2,自引:0,他引:2  
基于层合柱壳混合状态方程和边界条件的弱形式,建立了两端固支层合闭口柱壳的温度应力混合方程,给出了任意厚度合闭口柱壳在温度荷载和机械荷载共同作用下的解析解。  相似文献   

8.
黏弹性层合圆柱壳的蠕变分岔屈曲   总被引:2,自引:1,他引:1  
彭凡  向红  傅衣铭 《力学学报》2006,38(6):792-798
采用Boltzmann积分型本构关系描述铺设单层的黏弹性力学行为,基于DMV扁壳假定和Kármán- Donnell几何非线性关系,研究了对称铺设黏弹性层合圆柱壳的前屈曲变形特征和分岔蠕变屈曲.对玻璃纤维/环氧树脂基复合材料层合圆柱壳的分析结果表明,在前屈曲阶段,挠曲变形和环向薄膜力随时间的变化趋势主要取决于圆柱壳的铺设方式,可以呈现完全相反的变化特征;层合短圆柱壳两端的边界条件对其蠕变分岔屈曲行为有决定性的影响,径厚比的增加将使分岔形式的延迟失稳现象更加明显.  相似文献   

9.
王熙 《爆炸与冲击》1994,14(3):255-263
提出一种有效求解方法,求解了任意叠层球壳在动载荷作用下的应力波传播。首先,利用有限Hankel变换和Laplace变换求解了每一单层的弹性动力学解。然后,利用叠层球壳的内、外边界条件和层与层之间的连接条件确定每一单层解中的待定常数。从而,我们可以得到应力波在叠层球壳内传播的精确解。最后,我们计算了在一个突加内压作用下的两层球壳(Steel/Al)和三层球壳(Steel/Alloy/Al)内的应力波传播。求解过程和计算结果表明文中提出的求解方法是简便可行的。  相似文献   

10.
曲壳结构已广泛应用于航空航天、航海等领域,结构微小的振动会极大地影响部件性能,抑制曲壳结构的振动就很必要。提出了压电曲壳结构的振动最优控制模型,利用空间曲壳单元理论及多点约束方程实现曲壳基结构壳元和压电壳元的耦合,推导了压电曲壳结构动力学有限元方程,并结合线性二次型最优控制理论,实现了压电作动器对曲壳结构的振动最优控制。数值算例表明,对曲壳结构进行动力分析和振动控制时,在达到同样精度及控制效果的情况下,与平壳相比,曲壳单元及作动器所需数目要少得多。  相似文献   

11.
平面梁单元的单元复合技术及应用   总被引:2,自引:0,他引:2  
深入分析了平面梁单元内任一点的位移,根据位移协调条件,利用虚功原理建立了在母梁单元上增加并复合子梁单元的方法,能够比较方便、准确地模拟工程结构中构件含加劲材料、构件截面在不同阶段变化等问题。算例验证了该方法的可行性,演示了在使用上的便利。  相似文献   

12.
考虑约束扭转的薄壁梁单元刚度矩阵   总被引:1,自引:0,他引:1  
推导了薄壁空间梁单元刚度矩阵 ,考虑了双向弯曲及截面约束扭转对杆件轴向变形的影响 ;计算了截面的翘曲变形 ,以及二次剪应力对翘曲变形的影响 ,可适用于任意截面 (包括开口、闭口和混合剖面 )的薄壁杆件。计算结果表明 ,考虑约束扭转的薄壁梁单元刚度矩阵有相当好的精确度 ,可以用于薄壁杆件的静动力分析。  相似文献   

13.
研究高次杆单元和梁单元的节点位移精度问题.首先求出一端固支均匀杆和悬臂梁在任意次多项式形式分布载荷作用下的位移精确解,然后用二次杆单元、五次欧拉梁单元和三次铁木辛柯梁单元求得了节点位移.通过比较有限元解与精确解以及利用静力凝聚方法,发现一次以上杆单元、三次以上欧拉梁单元以及三次以上铁木辛柯梁单元都可以给出精确的端点位移.  相似文献   

14.
The theory of generalized functions is used to address the static equilibrium problem of Euler–Bernoulli non-uniform and discontinuous 2-D beams. It is shown that if simple integration rules are applied, the full set of response variables due to end nodal displacements and to in-span loads can be derived, in a closed form, for most common beam profiles and arbitrary discontinuity parameters. On this basis, for finite element analysis purposes, a non-uniform and discontinuous beam element is implemented, for which the exact stiffness matrix and the fixed-end load vector are derived. Upon computing the nodal response, no numerical integration is required to build the response variables along the beam element.  相似文献   

15.
基于Timoshenko梁及Benscoter薄壁杆件理论,建立了考虑剪切变形、弯扭耦合以及翘曲剪应力影响的空间任意开闭口薄壁截面梁单元. 通过引入单元内部结点,对弯曲转角和翘曲角采用三节点Lagrange独立插值的方法,考虑了剪切变形和翘曲剪应力的影响并避免了横向剪切锁死问题;借助载荷作用下薄壁梁的截面运动分析,在位移和应变方程中考虑了弯扭耦合的影响. 通过数值算例将该单元的计算结果与理论解以及商用有限元软件和其他文献中的数值解进行对比和验证,结果对比表明该薄壁梁单元具有良好的精度和收敛性.  相似文献   

16.
This paper proposes a singularity-free beam element with Euler–Bernoulli assumption, i.e., the cross section remains rigid and perpendicular to the tangent of the centerline during deformation. Each node of this two-nodal beam element has eight nodal coordinates, including three global positions and one normal strain to describe the rigid translation and flexible deformation of the centerline, respectively, four Euler parameters or quaternion to represent the attitude of cross section. Adopting quaternion instead of Eulerian angles as nodal variables avoids the traditionally encountered singularity problem. The rigid cross section assumption is automatically satisfied. To guarantee the perpendicularity of cross section to the deformed neutral axes, the position and orientation coordinates are coupled interpolated by a special method developed here. The proposed beam element allows arbitrary spatial rigid motion, and large bending, extension, and torsion deformation. The resulting governing equations include normalization constraint equations for each quaternion of the beam nodes, and can be directly solved by the available differential algebraic equation (DAE) solvers. Finally, several numerical examples are presented to verify the large deformation, natural frequencies and dynamic behavior of the proposed beam element.  相似文献   

17.
采用将梁截面离散化的方式,用数值积分计算截面的几何特性,并根据梁剪切变形和扭转理论,利用变分原理建立截面的有限元法方程,求解任意形状截面的扭转常数、剪切中心以及剪切面积修正系数等特性.本方法适用于各种形式的截面,具有计算精度高及适应性强的特点.根据上述理论编制了相应程序,按照不同的单元划分方式,分别计算出矩形截面截面特性,与理论解进行比较;又对舟山市定海长峙至岙山预应力混凝土连续箱梁截面进行了计算,并与Ansys结果进行比较,均证明采用本文的计算方法能得到满意的结果,且该方法适用于各种形状的截面形式.  相似文献   

18.
In this work, a model of the stepped Timoshenko beam in presence of deflection and rotation discontinuities along the span is presented. The proposed model relies on the adoption of Heaviside’s and Dirac’s delta distributions to model abrupt and concentrated, both flexural and shear, stiffness discontinuities of the beam that lead to exact closed-form solutions of the elastic response in presence of static loads. Based on the latter solutions, a novel beam element for the analysis of frame structures with an arbitrary distribution of singularities is here proposed. In particular, the presented closed-form solutions are exploited to formulate the displacement shape functions of the beam element and the relevant explicit form of the stiffness matrix. The proposed beam element is adopted for a finite element discretization of discontinuous framed structures. In particular, by means of the introduction of a mass matrix consistent with the adopted shape functions, the presented model allows also the dynamic analysis of framed structures in presence of deflection and rotation discontinuities and abrupt variations of the cross-section. The presented formulation can also be easily employed to conduct a dynamic analysis of damaged frame structures in which the distributed and concentrated damage distributions are modelled by means of equivalent discontinuities. As an example, a simple portal frame, under different damage scenarios, has been analysed and the results in terms of frequency and vibration modes have been compared with exact results to show the accuracy of the presented discontinuous beam element.  相似文献   

19.
Chater梁屈曲传播的动态分析   总被引:1,自引:0,他引:1  
刘志宏  黄玉盈 《力学学报》1993,25(4):460-467
本文从非线性有限元的一般方法出发,结合应用加权残数技术和ALE边界元法,对Chater梁的屈曲传播进行了完全的动态分析,抛弃了前人一直采用的准静态和动稳态假设;另外,基于势流理论和非线性液面条件,还考虑了结构充液后由于流固耦合作用对屈曲传播所造成的影响,大量算例揭示了结构的菲线性、作用载荷、屈曲传播速度以及液体介质之间的内在关系,从而对屈曲传播有了更深入的认识。  相似文献   

20.
In this paper, a new method, the step-reduction method, is proposed to investigate the dynamic response of the Bernoulli-Euler beams with arbitrary nonhomogeneity and arbitrary variable cross-section under arbitrary loads. Both free vibration and forced vibration of such beams are studied. The new method requires to discretize the space domain into a number of elements. Each element can be treated as a homogeneous one with uniform thickness. Therefore, the general analytical solution of homogeneous beams with uniform cross-section can be used in each element. Then, the general analytic solution of the whole beam in terms of initial parameters can be obtained by satisfying the physical and geometric continuity conditions at the adjacent elements. In the case of free vibration, the frequency equation in analytic form can be obtained, and in the case of forced vibration, a final solution in analytical form can also be obtained which is involved in solving a set of simultaneous algebraic equations with only  相似文献   

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