Analysis of stiffened corrugated plates based on the FSDT via the mesh-free method

The elastic bending of unstiffened and stiffened corrugated plates is studied in this paper, and a mesh-free Galerkin method is presented for the analyses. A corrugated plate is treated as an orthotropic plate that has different flexure properties in two perpendicular directions. The equivalent flexure properties are estimated by applying constant curvature conditions to the corrugated sheet. The stiffened corrugated plate is considered as a composite structure of an orthotropic plate with beams. By superimposing the strain energy of the orthotropic plate and the beams, and imposing the displacement compatibility conditions between the plate and the beams, the stiffness matrix of the structure is obtained. Because no mesh is needed in the proposed method, there is no limitation to the position of the stiffeners (beams). Changes in the positions of the stiffeners do not require the re-meshing of the plate. Several numerical examples are employed to show the accuracy and convergence of the proposed method. The computation results demonstrate good agreement with the solutions given by ANSYS, and different profiles of corrugated plates are considered.     

Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

This paper presents an element-free Galerkin (EFG) method for the static analysis of concentrically and eccentrically stiffened plates based on first-order shear deformable theory (FSDT). The stiffened plates are regarded as composite structures of plates and beams. Imposing displacement compatible conditions between the plate and the stiffener, the displacement fields of the stiffener can be expressed in terms of the mid-surface displacement of the plate. The strain energy of the plate and stiffener can be superimposed to obtain the stiffness matrix of the stiffed plate. Because there are no elements used in the meshless model of the plate, the stiffeners need not to be placed along the meshes, as is done in the finite element methods. The stiffeners can be placed at any location, and will not lead to the re-meshing of the plate. The validity of the EFG method is demonstrated by considering several concentrically and eccentrically stiffened plate problems. The present results show good agreement with the existing analytical and finite element solutions. The influences of support size (denoted by a scaling factor d_max) and order of the complete basis functions (N_c) on the numerical accuracy are also investigated. It is found that larger support size and higher order of basis function will furnish better convergence results.     

Sound radiation from strip plates with longitudinal stiffeners using waveguide finite and boundary element methods

In this study, the vibration characteristics and sound radiation of strip plates with finite width and infinite length are investigated numerically in order to analyze the vibration and sound radiation of structures consisting of many stiffened and double-layered plates. The waveguide finite element approach, which is effective for waveguide structures, is applied as a numerical scheme. The sound power and radiation efficiencies for an unstiffened plate are calculated numerically via coupling boundary elements to the WFEs. Longitudinal stiffeners and additional upper plates are included in the plate model to investigate the effect of stiffeners and an upper plate on sound power and radiation efficiency. In this study, it is found that the stiffeners contribute differently to plate vibration and sound radiation, and that the radiation efficiencies of the stiffened and double plates are larger than those of the unstiffened plate due to the presence of the stiffeners.     

Buckling and vibration of stiffened plates subjected to partial edge loading

The buckling and vibration characteristics of stiffened plates subjected to in-plane partial and concentrated edge loadings are studied using finite element method. The initial stresses are obtained considering the pre-buckling conditions. Buckling loads and vibration frequencies are determined for different plate aspect ratios, edge conditions and different partial non-uniform edge loading cases. The non-uniform loading may also be caused due to the supports on the edges. The analysis presented determines the stresses all over the region for different kinds of loading and edge conditions. In the structural modelling, the plate and the stiffeners are treated as separate elements where the compatibility between these two types of elements is maintained. The vibration characteristics are discussed and the results are compared with those available in the literature. Buckling results show that the stiffened plate is less susceptible to buckling for position of loading near the supported edges and near the position of stiffeners as well.     

Adaptive finite element analysis of steel girder deck pavement

This paper shows a more exact and practical finite element model of the steel girder deck pavement. Based on Mindlin thick plate theory, a 12-node solid thick plate element was constituted to analyze the pavement. The computation result was compared with that by traditional 4-node and 8-node thick plate finite element, and is satisfactory. A combined plate beam element method is presented to investigate the stiffened plate. A 6-node solid thin plate element was constituted to analyze the top plate based on Kirchhoff thin plate theory. The stiffeners acting as the vertical supporting function mainly are taken as Euler beam elements. A method of using the linear interpolation to realize the longitudinal displacement and the cubic Hermite interpolation to the vertical displacement is presented to analyze the stiffeners. In addition, it is essential to consider the displacement coordination between the top plate and stiffeners. A node-to-node contact scheme, which is applicable for three-dimensional contact analyses involving large deformations, was used to treat the contact problem between pavement and stiffened plate by Lagrange multiplier methods.     

Numerical analysis of static performance comparison of friction stir welded versus riveted 2024-T3 aluminum alloy stiffened panels

Most researches on the static performance of stiffened panel joined by friction stir welding（FSW） mainly focus on the compression stability rather than shear stability. To evaluate the potential of FSW as a replacement for traditional rivet fastening for stiffened panel assembly in aviation application, finite element method（FEM） is applied to compare compression and shear stability performances of FSW stiffened panels with stability performances of riveted stiffened panels. FEMs of 2024-T3 aluminum alloy FSW and riveted stiffened panels are developed and nonlinear static analysis method is applied to obtain buckling pattern, buckling load and load carrying capability of each panel model. The accuracy of each FEM of FSW stiffened panel is evaluated by stability experiment of FSW stiffened panel specimens with identical geometry and boundary condition and the accuracy of each FEM of riveted stiffened panel is evaluated by semi-empirical calculation formulas. It is found that FEMs without considering weld-induced initial imperfections notably overestimate the static strengths of FSW stiffened panels. FEM results show that, buckling patterns of both FSW and riveted compression stiffened panels represent local buckling of plate between stiffeners. The initial buckling waves of FSW stiffened panel emerge uniformly in each plate between stiffeners while those of riveted panel mainly emerge in the mid-plate. Buckling patterns of both FSW and riveted shear stiffened panels represent local buckling of plate close to the loading corner. FEM results indicate that, shear buckling of FSW stiffened panel is less sensitive to the initial imperfections than compression buckling. Load carrying capability of FSW stiffened panel is less sensitive to the initial imperfections than initial buckling. It can be concluded that buckling loads of FSW panels are a bit lower than those of riveted panels whereas carrying capabilities of FSW panels are almost equivalent to those of riveted panels with identical geometries. Finite elem     

有限加筋板宽度对应力强度因子的影响

基于线性累积损伤理论,分析了含裂纹损伤的加筋板加强筋宽度的不同对裂纹尖端应力强度因子的影响。然后根据分析得到裂纹尖端应力强度因子随加强筋宽度的变化规律。结果表明,随着加强筋宽度的增大,结构应力强度因子的下降幅度逐渐增大,当裂纹尖端离筋条越近时,这种现象越明显。     

A DXDR large deflection analysis of uniformly loaded square, circular and elliptical orthotropic plates using non-uniform rectangular finite-differences

A finite-difference analysis of the large deflection response of uniformly loaded square, circular and elliptical clamped and simply-supported orthotropic plates is presented. Several types of non-uniform (graded) mesh are investigated and a mesh suited to the curved boundary of the orthotropic circular and elliptical plate is identified. The DXDR method-a variant of the DR (dynamic relaxation) method-is used to solve the finite-difference forms of the governing orthotropic plate equations. The DXDR method and irregular rectilinear mesh are combined along with the Cartesian coordinates to treat all types of boundaries and to analyze the large deformation of non-isotropic circular/elliptical plates. The results obtained from plate analyses demonstrate the potential of the non-uniform meshes employed and it is shown that they are in good agreement with other results for square, circular and elliptical isotropic and orthotropic clamped and simply-supported plates in both fixed and movable cases subjected to transverse pressure loading.     

A point receptance array approach for stiffened panel structures

A point receptance array is proposed to study behaviors of panel structures with stiffeners. Although the overall objective is intended to develop a general algorithm for large structural members with stiffeners of arbitrary arrangements, the present study focus on an analytical evaluation of the accuracy of the approximation. To simplify the formulations, a thin plate with two diagonally connected beam stiffeners is selected. By solving governing differential equations for the plate and beam, point receptances that represent the interaction and compatibility conditions at the plate-beam interfaces are analytically obtained. Buckling modes of the stiffened plate are obtained by solving an eigenvalue problem. Accuracy of the approach is verified by a comparison of the analytical solution with data obtained from a direct finite element model. A parametric study was also performed. Good agreement indicates that the point receptance is a viable approach for general applications.     

铝合金搅拌摩擦焊接加筋板剪切稳定性能研究

对2024-T3铝合金搅拌摩擦焊接加筋壁板的剪切稳定性能进行试验研究,得到该结构的剪切失稳形式及屈曲载荷、承载能力及破坏形式。应用有限元法对该焊接加筋壁板结构进行简化建模,对该结构的稳定性和承载能力进行计算,将计算结果与试验结果进行比较。试验及有限元计算结果表明,结构的剪切失稳形式表现为筋条间平板的局部屈曲;屈曲后结构进入张力场受力状态,破坏形式主要表现为平板的塑性变形和边缘撕裂、筋条的弯扭变形以及焊接区的局部脱焊;出现脱焊现象的试验件其承载能力较未出现脱焊现象的试验件下降7.7%;线性和非线性屈曲计算所得屈曲载荷分别比试验平均值高出18.4%和26.2%,而非线性计算所得承载能力比试验平均值高出5.7%,焊接引起的初始缺陷对结构承载能力的影响小于对屈曲载荷的影响;有限元分析得到的结构屈曲形式和失效形式与试验现象吻合,验证了有限元模型的合理性,但其仍需要进一步改进以考虑初始缺陷来减小计算误差。     

FE analysis of unstiffened and stiffened corrugated panels subjected to blast loading

This paper presents the results of a dynamic analysis on unstiffened and stiffened corrugated panels subjected to hydrocarbon explosion. A parametric study is also conducted on simplified models of the stiffened corrugated panels considering the effect of stiffeners on the compressive flange under different loading levels. The 1/2 symmetry of corrugated panels is modeled. This numerical study is performed using NX Nastran version 7.5. The unstiffened panel produces localized buckling at the center of corrugation and large permanent deformation by increasing the peak pressure. The stiffened panels suppress the structural response, and the vee stiffeners are structurally more effective than the round ones.     

面向动力学性能的薄壁加筋板结构阻尼与筋条布局协同优化设计

为减小薄壁加筋结构在动态环境下的振动,提出了加筋肋布局和阻尼层拓扑一体化设计方法。以含表层阻尼材料的薄壁加筋板结构为研究对象,结合阻尼材料惩罚模型与基结构优化方法,引入筋条密度和阻尼单元密度两类独立设计变量,考虑筋条和阻尼材料的体积约束,建立最小化动态柔度的阻尼材料拓扑和筋条布局的协同优化模型,实现面向动态响应最小化的含阻尼层的薄壁加筋结构最优设计。通过不同阻尼、不同频率下的含表面阻尼层加筋板的多个数值算例,验证了所提方法和模型的有效性。     

基于等效理论的多夹心层蜂窝板模态分析

研究蜂窝板的三明治等效理论,应用该等效理论对蜂窝板夹芯进行等效计算得其等效参数,建立多夹心层蜂窝板的有限元模型,完成不同算例在不同边界条件下的模态分析,解决了通用有限元程序如NASTRAN等不能直接计算蜂窝板的动、静力学性能问题.将计算结果与解析解对比,说明等效方法是合理的,适用于多夹心层蜂窝板结构的有限元分析.     

Active control of composite plates using piezoelectric stiffeners

The governing equations for geometrically nonlinear, arbitrarily laminated rectangular plates reinforced by stiffeners which include piezoelectric and composite layers are presented. General equations obtained in the paper are reduced to a single equation of motion for piezoelectrically reinforced, geometrically linear, specially orthotropic plates. A criterion for an effective control of forced vibrations of such plates using piezoelectric stiffeners and a static electric field is illustrated. Active control of dynamic stability using a dynamic electric field with a frequency equal to that of the in-plane load is also considered.In addition, an approach to the analysis of piezoelectrically stiffened nonlinear plates whose motion is represented by single-term functions of the coordinates is discussed.Numerous active control problems can be addressed using the theory outlined in the paper.     

ANSYS参数化有限元技术在板壳结构拓扑优化设计中的应用

拓扑优化设计是工程结构降低成本、提高性能的有效手段之一.在ANSYS对加筋板壳结构的有限元分析基础上,可以对板壳结构的加强部件分布进行合理设计.着重介绍了使用ANSYS参数化语言进行加筋板壳结构的分析方法.     

波形腹板梁结构研究及其有限元分析

这里提出了桥式起重机的箱型主梁的新型波形腹板结构的设想,并在充分比较和论证的基础上提出了以正弦曲线波形作为腹板的波形。利用大型有限元软件ANSYS对新型腹板和原来的平直腹板进行了综合比较分析,等效应力比原来腹板减少50％左右,说明波形腹板梁的受力情况更好。     

一种挖掘机动臂板厚的优化设计方法

在施工过程中,动臂可能因板厚设计过薄而出现开裂甚至断裂的现象,因此挖掘机动臂板厚的优化设计十分重要。为此,提出了一种挖掘机动臂板厚的优化设计方法。首先,根据有限元理论和板壳理论建立了板壳应变与板厚优化设计的数学模型。然后,提出了基于ANSYS的优化设计实现方法。最后,利用某挖掘机的动臂板厚优化实例进行验证,验证结果表明该优化设计方法的可行性和有效性。     

某型瓦楞辊的现场振动测试与模态参数识别

针对瓦楞辊工作过程中产生的振动与噪声等现象,高速运行下在机架上对瓦楞辊传动系统进行了现场振动测试,使用随机子空间法从测试数据中识别了结构的前十阶模态频率及相应的振型和阻尼比,并与有限元分析结果进行比较。结果表明,通过机架的振动情况可较为准确地提取出上、下瓦楞辊的各阶频率;有限元模型能够准确地反映瓦楞辊的动态特性,可以为瓦楞辊结构的故障诊断及变形预测提供参考。     

Free vibrations of square plantes with stiffened square openings

A grid frame work model is extended to obtain the natural frequencies of square plates with stiffened square openings. This technique eliminates the use of fictitious points at the re-entrant corner point, junction point, etc. on the stiffened opening. Numerical results are presented for the first time for the cases of plates with simply supported and clamped boundary conditions in order to show the convergence and versatility of the method. Also, this investigation provides a general feeling about the changes in fundamental frequencies that occur when stiffeners are introduced.