Ⅰ型夹芯金属夹层板振动特性数值仿真分析

随着船舶结构设计技术的发展,轻型结构形式得到越来越多的重视。Ⅰ型夹芯金属夹层板是轻型结构的典型代表,对Ⅰ型夹芯金属夹层板架振动特性开展研究可为船舶减振防护设计提供指导。以某中型豪华邮轮的甲板板架为对象,结合豪华邮轮甲板板架特点,应用有限元法分析Ⅰ型夹芯结构金属夹层板架的模态和速度导纳特性,分析夹层板各设计参数的变化对典型位置处速度导纳的影响规律,可为Ⅰ型夹芯金属夹层板在船舶减振防护设计中的替代设计和应用提供参考。     

橡胶芯夹层板隔声特性研究

基于夹层板的Hoff理论和声学反射、透射和辐射机理,建立了声振理论模型,结合模态函数的正交性及流-固耦合边界条件求解了声振耦合系统方程。再根据声场的特性,建立了混合声场下夹层板的隔声量表达式。最后,用数值方法研究了芯层的损耗因子、厚度、弹性模量,以及平面尺寸对夹层板隔声量的影响,对工程应用有一定的参考价值。     

多筋板振动特性的导纳法研究

了解结构内部的能量传递规律是研究复杂系统结构间能量传递的基础.研究了单加筋板和多加筋板的振动特性,结果表明:筋的存在改变了板振动能量对称分布的特性,加筋处振动能量呈阶梯状衰减,加强筋阻碍了振动能量的传播.     

电流变夹层板滑模振动控制

为实现板结构振动控制,基于滑动模态控制思想,设计适用于电流变夹层结构的变刚度控制器,并且推导两类控制律——滑模控制律和简化的开关控制律。先将电流变液处理为可控黏弹性材料,基于Hamilton原理建立电流变夹层板有限元模型。设计滑模控制器时,首先将系统变换到模态空间,然后利用LQR最优控制理论设计控制面函数,设计电流变夹层板的滑模控制器,最后给出两个近似的半主动控制律。对悬臂电流变夹层板进行仿真分析,设计的滑模控制器能显著降低电流变夹层板振动水平,均方根降幅达到88.23%,取得明显优于被动控制的减振效果,体现电流变夹层结构在板结构振动控制应用中的前景。     

板壳结构振动特性的等效机械导纳法

针对线衔接下耦合结构振动传递难以求解的问题,提出具有普遍意义的等效机械导纳方法。以铺板与圆柱壳线衔接结构模型为研究对象,计算各结构的平均振动响应,并与实验结果进行对比,理论计算与实验测试结果一致性良好。研究表明：提出的等效机械导纳法能够有效地计算板壳耦合结构的振动响应特性,且求解过程简单,适于复杂耦合系统振动分析。     

梁板耦合结构振动功率流特性研究

研究梁板耦合结构的振动特性,以导纳理论为基础推导了系统各部分功率流表达式。通过数值仿真研究主要结构参数变化对系统功率流的影响。结果表明：梁、板厚度及梁长度影响功率流幅值的频带分布,而梁、板损耗因子的变化改变净功率流、总功率流和吸收功率流的大小,其中板角是较为理想的耦合位置。通过优化设计,对某工程结构的振动控制取得了一定效果。     

径向压力作用下夹层圆板自由振动理论解

基于小挠度薄板理论,建立径向均布压力作用下夹层圆板的振动控制方程。采用分离变量法导出夹层圆板的固有频率及振型解析式,计算径向均布压力作用下周边固支夹层圆板固有频率和振型,讨论径向均布压力和夹心层比率对固有频率的影响。研究表明夹层圆板的固有频率随径向压力增大而减小,临界压力随阶次的增大而增大;作用径向压力的夹层圆板固有频率随夹心层比率增大,先缓慢增大,到峰值后减小,该趋势与无径向压力时相同。     

柴油机排气系统振动特性数值仿真与分析

使用Pro/E软件建立某电站应急柴油机排气系统的三维模型,使用HyperMesh软件划分有限元网格,导入有限元软件ANSYS中对结构进行仿真计算,得到该排气系统模态特性。在此基础上,采用谐响应模拟分析柴油机激振力并对排气系统进行振动分析,进而评价金属波纹管对排气系统的隔振效果。     

加筋板机械导纳分频段计算方法

提出一种新的加筋板机械导纳分频段计算方法,该方法可给出加筋板机械导纳的显式表达。根据不同频段内加强筋对平板振动特性的影响规律,将加筋板在低频段、中频段和高频段分别等效为各向异性板、各向同性板以及无限大板,从而获得加筋板分频段机械导纳显式表达式。以模态叠加法计算结果作为参照,对分频段方法获得的加筋板机械导纳结果进行比较检验;并进一步以L型加筋板为分析对象,对比分频段方法与有限元方法,计算结果显示:分频段计算方法所得结果与模态叠加法和有限元法计算结果虽然略有差别,但对于工程计算,其精度令人满意。分频段方法比模态叠加法和有限元法更为简洁快速,且具有频段划分清晰、可保留结构中低频段模态信息等优点,为后续简化分析更为复杂的加筋耦合结构振动特性提供了新途径。     

蜂窝夹层板自由振动参数影响分析及实验研究

本文根据薄板动力学有限元理论，通过对蜂窝板等效抗弯刚度及效密度的推导，得出了蜂窝板固有频率现板，胶层及蜂窝芯各项参数的关系公式，试验结果及有限元算例表明，本文中文的各项结论具有较高的准确性，可以为工程实践提供理论依据。     

夹层椭圆形板的非线性振动

研究了夹层椭圆表板的非线性自由振动问题,在以五个位移分量表示的夹层椭圆板的运动方程的基础上,采用伽辽金方法得到非线性振动周期与振幅关系的解析表达式,讨论了物理参数和几何参数对板的线性基频和非线性振动周期的影响。     

Vibration Analysis of Arbitrarily Shaped Sandwich Plates via Ritz Method

This article presents the Ritz method for the vibration analysis of sandwich plates having an orthotropic core and laminated facings. The planform of the plate may take on any arbitrary shape. On the basis of the Mindlin plate theory and the Ritz method, the governing eigenvalue equation for determining the natural frequencies was derived. The Ritz method was automated and made computationally effective for general-shaped plates with any boundary conditions by (1) adopting the product of polynomial functions and boundary equations that were raised to appropriate powers and (2) applying Green's theorem to transform the integration over the general-shaped domain into a closed line integration. The Ritz formulation and software were verified by the close agreement with vibration frequencies obtained by previous researchers for a wide range of subset plate problems involving isotropic, laminated, and sandwich plates of various shapes. Moreover, sample natural frequencies of sandwich plates with laminated facings are presented for some quadrilateral plate shapes. These frequencies should be useful as reference results to researchers who are developing new methods or software for vibration analysis of sandwich plates.     

考虑芯层横向变形的粘弹性复合材料夹层板结构的声振特性分析

夹层板结构具有很高的比强度和比刚度。若芯层采用粘弹性阻尼材料，夹层板结构还具有良好的隔振和隔声特性，因此在工程结构中得到广泛应用。以往的夹层板理论大多忽略了芯层的横向正应变和横向正应力，在分析芯层较厚的夹层板或者夹层结构的高频振动问题时由于不能体现芯层的横向压缩变形，往往显得不够合理。针对这一不足，构造了一个复合材料夹层板单元：夹层板的上下面板采用基于一阶剪切变形理论的Mindlin假定以及层合板理论进行分析；采用文献[6，7]中提出的Timoshenko层合厚梁理论构造了单元每边的转角和剪应变场，消除了Mindlin板单元当板厚变小时的剪切锁死问题；假定芯层的位移沿厚度方向线性变化，并用上下面板的自由度表示，最终形成以上下面板自由度表示的系统总的运动方程。该单元不仅考虑了芯层的横向剪切变形，还考虑了芯层的横向压缩变形。数值计算结果表明：无论对于静力问题、动力问题还是声辐射等问题，考虑芯层的横向压缩变形是合理的，也是有必要的。     

Modeling and Re-Examination of Nonlinear Vibration and Nonlinear Bending of Sandwich Plates with Porous FG-GPLRC Core

In this article, an inhomogeneous model is proposed to predict the material properties of porous GPL-reinforced composite (GPLRC) and to predict the mechanical responses of a sandwich plate which consists of top and bottom metal face sheets and a porous GPLRC core. The GPLRC core is assumed to be multilayers, and each layer may have different values of porosity coefficient to achieve a piece-wise functionally graded pattern. Young's moduli along with shear modulus of porous GPLRC core are predicted by a generic Halpin-Tsai model in which the porosity is included. Thermo-mechanical properties of both metal face sheets and porous GPLRC core are assumed to be temperature-dependent. The governing equations of motion for porous sandwich plates are solved by applying a two-step perturbation approach to obtain the analytical solutions for the two cases of nonlinear vibration and nonlinear bending of porous sandwich plates. Numerical studies are performed to compare the results obtained from the present model and the equivalent isotropic model (EIM). The results reveal that, for most cases, the difference of natural frequencies between two models is over 30%, and the vibration frequency–amplitude curves and the bending load–deflection curves are underestimated by using the EIM.     

Vibration analysis of thin-walled composite beams with I-shaped cross-sections

A general analytical model applicable to the vibration analysis of thin-walled composite I-beams with arbitrary lay-ups is developed. Based on the classical lamination theory, this model has been applied to the investigation of load–frequency interaction curves of thin-walled composite beams under various loads. The governing differential equations are derived from the Hamilton’s principle. A finite element model with seven degrees of freedoms per node is developed to solve the problem. Numerical results are obtained for thin-walled composite I-beams under uniformly distributed load, combined axial force and bending loads. The effects of fiber orientation, location of applied load, and types of loads on the natural frequencies and load–frequency interaction curves as well as vibration mode shapes are parametrically studied.     

具有中间支承的矩形板自由振动分析

应用一般解析解来求解具有中间支承矩形板的自由振动问题。一般解析解能求解任意边界条件矩形板的振动问题,求解过程是将整块板看成是沿中间支承分开的两块板,沿支承边两块板的挠度均等于零,斜度和弯矩均相等,再由全部边界条件和连续性条件可以求解各阶频率和振型。对几种具有简支边,平夹边或自由边的混合边界矩形板进行了计算。     

温度对高速列车层合板振动声辐射的影响

我国高速铁路线路分布十分广阔,季节更替明显,温度变化显著,而温度变化将对高速列车层合板的振动声辐射产生影响。针对这一问题,基于混合有限元-边界元方法,建立温度场下的高速列车层合板振动声辐射预测模型,分析温度变化对高速列车层合板振动声辐射的影响规律。结果表明:随着温度升高,层合板各阶固有频率逐渐降低。在不考虑温度对阻尼特性影响的情况下,温度对230 Hz~340 Hz范围内的振动和声功率级影响显著,随着温度升高,振动位移和声功率级逐渐增大。当温度从-50°C升高到50°C时,该频率范围内的声功率级峰值增大11 d B,即每增加10°C,该显著峰值声功率级增大约1.1 d B。该温度范围内的层合板声功率级总值随着温度的增大呈非线性增长,从-50°C升高到50°C时,声功率级总值增大约4 d B。相关结论可为在考虑温度影响条件下的车体低噪声设计提供参考。     

High Strain Rate Response of Sandwich Composites with Nanophased Cores

Polyurethane foam materials have been used as core materials in a sandwich construction with S2-Glass/SC-15 facings. The foam material has been manufactured from liquid polymer precursors of polyurethane. The precursors are made of two components; part-A (diphenylmethane diisocyanate) and part-B (polyol). In one set of experiments, part-A was mixed with part-B to manufacture the foam. In another set, TiO₂ nanoparticles have been dispersed in part-A through ultrasonic cavitation technique. The loading of nanoparticles was 3% by weight of the total polymer precursor. The TiO₂ nanoparticles were spherical in shape, and were about 29 nm in diameter. Sonic cavitation was carried out with a vibrasound liquid processor at 20 kHz frequency with a power intensity of about 100 kW/m². The two categories of foams manufactured in this manner were termed as neat and nanophased. Sandwich composites were then fabricated using these two categories of core materials using a co-injection resin transfer molding (CIRTM) technique. Test samples extracted from the panel were subjected to quasi-static as well as high strain rate loadings. Rate of loading varied from 0.002 s^–1 to around 1300 s^–1. It has been observed that infusion of nanoparticles had a direct correlation with the cell geometry. The cell dimensions increased by about 46% with particle infusion suggesting that nanoparticles might have worked as catalysts during the foaming process. Correspondingly, enhancement in thermal properties was also noticed especially in the TGA experiments. There was also a significant improvement in mechanical properties due to nanoparticle infusion. Average increase in sandwich strength and energy absorption with nanophased cores was between 40–60% over their neat counterparts. Details of manufacturing and analyses of thermal and mechanical tests are presented in this paper.     

Buckling Analysis of Composite Sandwich Plates with Flexible Core Using Improved High-Order Theory

A new improved high-order theory is presented for global and local buckling analysis of sandwich plates with soft orthotropic core. Continuity conditions for transverse shear stresses at the interfaces as well as the conditions of zero transverse shear stresses on the upper and lower surfaces of plate are satisfied. Overall buckling loads, as well as wrinkling loads, are obtained for various sandwich plates. Effect of geometrical parameters and material properties of face sheets and core are studied on the overall buckling and face wrinkling of sandwich plates.