Dynamic and electrical responses of a curved sandwich beam with glass reinforced laminate layers and a pliable core in the presence of a piezoelectric layer under low-velocity impact

The dynamic responses and generated voltage in a curved sandwich beam with glass reinforced laminate(GRL)layers and a pliable core in the presence of a piezoelectric layer under low-velocity impact(LVI)are investigated.The current study aims to carry out a dynamic analysis on the sandwich beam when the impactor hits the top face sheet with an initial velocity.For the layer analysis,the high-order shear deformation theory(HSDT)and Frostig's second model for the displacement fields of the core layer are used.The classical non-adhesive elastic contact theory and Hunter's principle are used to calculate the dynamic responses in terms of time.In order to validate the analytical method,the outcomes of the current investigation are compared with those gained by the experimental tests carried out by other researchers for a rectangular composite plate subject to the LVI.Finite element(FE)simulations are conducted by means of the ABAQUS software.The effects of the parameters such as foam modulus,layer material,fiber angle,impactor mass,and its velocity on the generated voltage are reviewed.

Modelling and predicting the dynamic response of an axially graded viscoelastic core sandwich beam

The present study explored the influence of axial gradation of viscoelastic materials on the dynamic response of the sandwich beam for structural applications.The finite element(FE)formulations are used to model and investigate dynamic response of the sandwich beam.The classical beam theory is used to develop the FE formulations and Lagrange's approach is considered to obtain the equations of motion(EOM).FE code is developed and validated with the existing literature and also conducted the convergence study for the developed FE method.Further,the influence of different viscoelastic materials and boundary conditions on the dynamic response of the sandwich beam is investigated.Four different axial gradation configurations of viscoelastic materials are considered for the present work to explore the influence on natural frequency,loss factor and frequency response of the sandwich beam.The modeled axial gradation of viscoelastic material has displayed a considerable impact on the peak vibrational amplitude response of the sandwich beam for all the boundary conditions and these configurations improved the damping capabilities at different configurations for the structural applications.

A plastic indentation model for sandwich beams with metallic foam cores

Light weight high performance sandwich composite structures have been used extensively in various load bearing applications.Experiments have shown that the indentation significantly reduces the load bearing capacity of sandwiched beams.In this paper,the indentation behavior of foam core sandwich beams without considering the globally axial and flexural deformation was analyzed using the principle of virtual velocities.A concisely theoretical solution of loading capacity and denting profile was presented.The denting load was found to be proportional to the square root of the denting depth.A finite element model was established to verify the prediction of the model.The load-indentation curves and the profiles of the dented zone predicted by theoretical model and numerical simulation are in good agreement.

DYNAMIC RESPONSE OF ELASTIC-PLASTIC IDEAL SANDWICH BEAMS

The dynamic response of elastic-plastic ideal sandwich beams is investigated. The plastic deformation is interpreted as a kind of general loads in the elastic beams, while the moving interfaces between elastic and plastic regions are treated as external restraint conditions. Particularly, the dynamic response of a cantilever beam is investigated using the classical method by means of the superposition of the vibration modes of elastic beams. The numerical results show that, compared with the rigid-plastic solutions, the dynamic be- havior of elastoplastic beam exhibits complex response modes. In some cases, elastic deformation has very important effects on the response mode of the beam, so it should not be ignored.

Analytical modeling of sandwich beam for piezoelectric bender elements

Piezoelectric bender elements are widely used as electromechanical sensors and actuators, An analytical sandwich beam model for piezoelectric bender elements was developed based on the first-order shear deformation theory （FSDT）, which assumes a single rotation angle for the whole cross-section and a quadratic distribution function for coupled electric potential in piezoelectric layers, and corrects the effect of transverse shear strain on the electric displacement integration. Free vibration analysis of simplysupported bender elements was carried out and the numerical results showed that, solutions of the present model for various thickness-to-length ratios are compared well with the exact two-dimensional solutions, which presents an efficient and accurate model for analyzing dynamic electromechanical responses of bender elements.

Experimental investigation on vibration characteristics of sandwich beams with magnetorheological elastomers cores

A sandwich beam specimen was fabricated by treating with MR elastomers between two thin aluminum face-plates.Experiment was carried out to investigate the vibration responses of the sandwich beam with respect to the intensity of the magnetic field and excitation frequencies.The results show that the sandwich beams with MR elastomers cores have the capabilities of shifting natural frequencies and the vibration amplitudes decrease with the variation of the intensity of external magnetic field.

Dynamic response of clamped sandwich beams: analytical modeling

An improved analytical model is developed to predict the dynamic response of clamped lightweight sandwich beams with cellular cores subjected to shock loading over the entire span.The clamped face sheets are simplified as a single-degree-of-freedom(SDOF)system,and the core is idealized using the rigid-perfectly-plastic-locking(RPPL)model.Reflection of incident shock wave is considered by incorporating the bending/stretching resistance of the front face sheet and compaction of the core.The model is validated with existing analytical predictions and FE simulation results,with good agreement achieved.Compared with existing analytical models,the proposed model exhibits superiority in two aspects:the deformation resistance of front face sheet during shock wave reflection is taken into account;the effect of pulse shape is considered.The practical application range of the proposed model is therefore wider.

The Effect of Functionally Graded Materials into the Sandwich Beam Dynamic Performance

The original purpose of FGMs was the development of super resistant materials for propulsion systems. In the present work, numerical and experimental techniques are used to investigate the dynamic behavior of generally laminated composited beams. In the numerical analysis, the laminated beam is modeled using the commercial finite element software ANSYS. In the experimental study the core and face materials of sandwich beam specimens are nylon/epoxy FGMs and pure epoxy laminates respectively. The dynamic behavior of the sandwich composite beam specimens with different fiber orientation was carried out using two dynamic excitation techniques, harmonic using harmonic response and impulse using hammer. The specimens were prepared in the following configurations, different orientation angles, different layers, and different thickness. The results reveal that the natural frequencies of sandwich beam were affected directly by the face materials. The natural frequency decreases with increasing fiber orientations of the nylon/epoxy face laminates. Increasing the thickness increases natural frequencies. This study concluded that it is useful for the designers to select the fiber orientation angle to shift the natural frequencies as desired or to control the vibration level.

AEROELASTIC PROPERTIES OF SANDWICH BEAM WITH PYRAMIDAL LATTICE CORE CONSIDERING GEOMETRIC NONLINEARITY IN THE SUPERSONIC AIRFLOW

The equation of motion of sandwich beam with pyramidal lattice core in the supersonic flow considering geometric nonlinearity is formulated using Hamilton＇s principle. The piston theory is used to evaluate aerodynamic pressure. The structural aeroelastic properties are analyzed using frequency- and time-domain methods, and some interesting phenomena are observed. It is noted that the flutter of sandwich beam occurs under the coupling effect of low order modes. The critical flutter aerodynamic pressure of the sandwich beam is higher than that of the isotropic beam with the same weight, length and width. The influence of inclination angle of core truss on flutter characteristic is analyzed.

Dynamic Analysis of the Non-Linear Behavior of a Composite Sandwich Beam with a Magnetorheological Elastomer Core

This work deals with the active control of the vibrations of mechanical structures incorporating magnetorheological elastomer. The damping coefficient and shear modulus of the elastomer increase when exposed to a magnetic field. Compared with the vibration control where the elastomer is permanently exposed to a magnetic field, the control of this process through time reduces vibrations more effectively. The experimental study for the vibrations of a sandwich beam filled with an elastomer is conducted, followed by a numerical study using the Abaqus code. The vibration damping is found to be dependent on the loading rate of micro-size ferromagnetic particles in the elastomer.

Aeroelastic Properties and Nonlinear Vibration Control of a Simply-Supported Lattice Sandwich Beam Embedded with Nitinol-Steel Wire Ropes

As a novel vibration absorber,Nitinol-steel wire rope(NiTi-ST)has rarely been studied on vibration suppression for lattice sandwich beams in supersonic airflow.In this paper,NiTi-ST with nonlinear stiffness and hysteretic damping is embedded in a lattice sandwich beam to control the beam's vibration.The nonlinear restoring and hysteretic damping force of NiTi-ST are treated as polynomials.The dynamic equation is established based on Hamilton's principle.The amplitude responses of the beam with different NiTi-ST configurations are calculated.The vibration-suppression effects and energy dissipation of lattice sandwich beam with different NiTi-ST configurations under different air velocities are also compared.The frequency-domain and time-domain methods are used to analyze the structural aeroelastic properties.Simulation results show that the use of NiTi-ST can significantly suppress excessive vibration of a lattice sandwich beam in supersonic airflow.

Dynamic behavior of sandwich beams with different compositions of magnetorheological fluid core

Magnetorheological fluid(MRF)sandwich beams belong to a class of adaptive beams that consists of MRF sandwiched between two or more face layers and have a great prospective for use in semi-active control of beam vibrations due to their superior vibration suppression capabilities.The composition of MRF has a strong influence on the MRF properties and hence affects the vibration characteristics of the beam.In this work,six MRF samples(MRFs)composed of combination of two particle sizes and three weight fractions of carbonyl iron pow-der(CIP)were prepared and their viscoelastic properties were measured.The MRFs were used to fabricate different MRF core sandwich beams.Additionally,a sandwich beam with commer-cially available MRF 132DG fluid as core was fabricated.The modal parameters of the cantilever MRF sandwich beams were determined at different magnetic fields.Further,sinusoidal sweep excitation tests were performed on these beams at different magnetic fields to investigate their vibration suppres-sion behavior.MRF having larger particle size and higher weight fraction of CIP resulted in higher damping ratio and vibration suppression.Finally,optimal particle size and weight fraction of CIP were determined based on the maximization of damping ratio and minimization of weight of MRF.

Cantilever sandwich beams with pyramidal truss cores subjected to tip impact

Experiments were conducted to investigate the deformation of cantilever sandwich beams with pyramidal truss cores subjected to impact by a projectile at their tips.A new technique was employed to the fabrication of sandwich beams with pyramidal truss cores.For a better observation of large deformation of specimens during impact process,a high-speed digital video camera was successfully used to capture the instant shapes of the deformed beams.A projectile collection device was designed and installed to avoid the projectile flying away from the beam tips after impact and thus the kinetic energy imparted to the beams was measurable.The experiments show that the sandwich beams have a superior shock resistance compared to the monolithic beams of the same material and mass.Further,finite element simulations were performed to gain insight into the deformations and plastic energy absorptions in the sandwich beams.

Optimizing the Sandwich Composite Structure in the Cantilever Beam

The sandwich structure is of great interest because of its advantage of combining light weight and high flexural stiffness. Many previous researchers have studied the failure modes in sandwich structures and the effects on the load capacity caused by the change of the constituent materials’ properties. In this research, by applying Finite Element Analysis (FEA) method, we simulated a cantilever beam composed of a sandwich structure in Abaqus, to find out the preferred design principles that help decrease the stress and displacement in the beam when applied a uniform load. We also determined the effect of the core geometry on decreasing the displacement and the stress in the beam.

用于夹层梁静动力及屈曲分析的新型组合结构单元

推导出新型组合结构单元,用于考虑界面滑移的3层部分作用夹层组合梁的静动力及屈曲特性分析.基于铁木辛柯梁理论,建立考虑夹层梁部分作用效应的能量原理.针对其受力特性,在节点位移、横截面转角和界面滑移插值时均采用含内部自由度的高阶插值函数,以解决含界面有限元数值分析中常遇到的“滑移锁定”现象.通过变分原理得到夹层梁的刚度矩阵、质量矩阵以及几何刚度矩阵的显示表达式.基于MATLAB编译相应夹层结构的有限元程序并验证其准确性.对不同截面3层夹层组合梁进行不同荷载条件和边界条件下的静动力及屈曲特性分析,并探讨不同夹层组合梁跨高比和不同界面抗剪连接刚度下的计算结果及其误差的变化规律.所推导的显示表达式新型组合结构单元计算效率高,并便于推广应用于其他有限元程序或商业软件子程序中.

基于n阶剪切变形理论的表面梯度脱碳汽车前轴弯曲分析

汽车前轴在热锻和热处理过程中,材料的表面会发生一定深度的脱碳,脱碳层的力学性能随脱碳深度呈梯度变化,影响了前轴在载荷下的弯曲性能。利用分段函数构建两侧表面功能梯度变化、内部性能均匀的简支夹芯梁,根据n阶剪切变形理论研究梁在两点载荷作用下的弯曲行为。利用虚功原理推导出位移场控制方程,采用Navier解析方法得到简支边界条件下梁的弯曲行为,并与相关文献中的实例进行比较。结果表明:n阶剪切变形理论具有良好的精度与可靠性;梁的挠度与转角随脱碳指数k的增大而增大,并于k≈10处达到准稳态;脱碳深度大于5 mm时,脱碳层厚度对梁弯曲时产生应力的影响比梁的高度变化带来的影响更大;两侧脱碳深度不对称时,物理中性面发生迁移;梁的弯曲挠度与转角随梁的厚度、宽度的增大而减小,但梁的厚度变化的影响更大。

局域共振夹芯超结构梁带隙特性及实验研究

本文提出了一种新型局域共振夹芯超结构梁,该结构由夹芯梁基体和由软材料包裹质量块组成的局域共振单元构成。分别采用传递矩阵法和有限元法计算了该结构的带隙分布和振动传输特性,搭建了局域共振夹芯超结构梁的振动传输测试实验平台,并与数值计算结果进行对比验证,最后分析了结构参数对结构带隙分布特性的调控规律。研究结果表明,该结构在低频范围内共出现两条弯曲波带隙,带隙频率分别为196.1~339.0 Hz和377.2~655.6 Hz。而完全带隙位于弯曲波带隙内,频率范围为380.0~423.6 Hz。且在这两条弯曲波带隙范围内,弯曲振动传输会发生明显的减弱现象。另外,局域共振夹芯超结构梁的结构参数会对带隙分布特性产生较大影响,通过合理选择结构参数,可以实现局域共振夹芯超结构梁低频率和高带宽的减振要求。

弹性层阻尼对SANDWICH梁弯曲共振法测量结果影响分析(英文)

经典SANDWICH梁弯曲共振法测量理论由于忽略了SANDWICH试件弹性层阻尼的影响,给阻尼材料动态力学参数测量结果引入了误差。该文首先基于约束阻尼结构弯曲共振模型,推导了考虑弹性层阻尼影响的SANDWICH 梁弯曲共振法测量方程;然后分别基于经典方程及改进方程对同一试件的测量数据进行了处理,并通过对结果的比较,分析了由于忽略弹性层阻尼而给测量结果造成的影响。研究表明:忽略弹性层阻尼影响对阻尼材料损耗因子的测量精度影响更显著,并且损耗因子的测量误差对弹性层阻尼的变化也更敏感。忽略弹性层阻尼影响还会导致由无效的测量数据得到看似合理的材料参数测量结果,从而误导阻尼减振降噪结构的设计。文中研究内容为SANDWICH试件弹性层材料的选择及测量结果的评估提供了理论依据, 对提高SANDWICH梁弯曲共振法测量精度及阻尼技术的有效应用具有重要意义。

Closed Solution for Initial Post-Buckling Behavior Analysis of a Composite Beam with Shear Deformation Effect

This paper is focused on the post-buckling behavior of the fixed laminated composite beams with effects of axial compression force and the shear deformation.The analytical solutions are established for the original control equations(that is not simplified)by applying the Maclaurin series expansion,Chebyshev polynomials,the harmonic balance method and the Newton’s method.The validity of the present method is verified via comparing the analytical approximate solutions with the numerical ones which are obtained by the shooting method.The present third analytical approximate solutions can give excellent agreement with the numerical solutions for a wide range of the deformation amplitudes.What’s more,the effect of shear deformation on the post-bucking configuration of the sandwich beam is also proposed.It can be found that the shear angle has a great influence on the post-buckling load of composite beams.Therefore,the model simplifying the shear formation term as small quantity is not accurate for the case of sandwich beam with soft core.

横向非均匀温度场作用的FGM夹层梁热屈曲分析

基于经典几何非线性梁理论,推导了受横向非均匀升温作用的FGM夹层梁热屈曲控制方程。对于端部夹紧边界条件梁,随着温度升高,梁发生分支屈曲,考虑到分支屈曲临界状态变形较小,将非线性边值问题退化成线性特征值问题,通过求线性特征值问题,得到了有量纲临界屈曲温度差解析解。另外,运用打靶法计算非线性边值问题,得到了热过屈曲平衡路径和平衡构型。利用算例探究层厚比、梯度指数、温度场级数项数目对FGM夹层梁热过屈曲平衡路径和平衡构型的影响。结果表明:当梯度层相对厚度和梯度指数增加时,FGM夹层梁临界屈曲温度差均增加。