基于统计能量法的铝板隔声量分析

为研究单双层铝板的隔声性能,基于VA-ONE平台建立了单双层铝板隔声计算模型,利用统计能量法对其进行高频段的隔声量仿真计算,并与实测值进行了对比,在125Hz～4000Hz频域内,统计能量法的隔声量计算值与实测数据基本吻合.进一步研究了板厚、材质、空气夹层厚度、吸声材料对单双层铝板隔声性能的影响.研究结果表明:不同厚度单层均质铝板隔声量基本符合均质板的隔声规律;在630Hz-4000Hz频域内,空气夹层厚度每增加50mm,隔声量提高约1dB;等厚度玻璃钢及铝蜂窝板比铝板具有更好的隔声性能;在对能量输入贡献较大的结构中铺设吸声性能较好的材料可以获得更好的隔声效果;玻璃纤维能够增强聚氨酯的吸声性能.实际工程中,需合理配置板厚、空气夹层厚度、隔板材料、吸声材料的关系,方可获得较好的隔声性能和经济性,研究结果对船舶舱室降噪设计提供了参考依据.     

统计能量分析中的响应统计估计及其研究进展

统计能量分析(SEA)是分析复杂动态系统结构－声耦合振动响应的有效方法,而结构响应的统计估计是评价SEA分析准确性的基本依据,是SEA的一个重要组成部分.在简要介绍了SEA基本理论及其响应统计估计理论的基础上,对SEA中的响应统计估计的研究进展进行了综述和讨论,指出了在SEA响应统计估计中存在的问题,论述了需要进一步深入研究的方面,并着重讨论了响应统计估计中基于Poisson频率空间和高斯正交总体(GOE)频率空间的结构响应方差分析方法及其在SEA响应统计估计发展中的重要作用.     

基于统计能量法的油船舱室噪声预报与控制

基于统计能量法对某型油船进行了舱室噪声预报,对舱室噪声预报值与实测值进行了对比分析;并对个别舱室进行了吸声降噪处理.结果表明:舱室噪声预报值与实测值取得了较好的吻合,带宽合成后舱室噪声预报值与实测值最大相差4dB,其余误差均在3dB以内,满足一般工程精度要求;主机是机舱噪声的主要激励源,对于其他舱室,主机、齿轮箱及柴油发电机组均为主要激励源.在机舱中,动力设备空气噪声为机舱噪声的主要激励形式;在远离机舱的舱室中,动力设备结构噪声为舱室噪声的主要激励形式.同等厚度下,双层吸声材料比单层吸声材料具有更好的吸声性能.     

相关激励下的统计能量分析法研究

传统的统计能量分析法的基本公式是在相互独立的激励下获得的.本文从相关激励下的功率流分析入手,引入相关功率流的概念,得出相关激励下保守耦合系统功率流的表达式,给出了结构在相关激励下的统计能量关系式,数值计算表明,文中分析及结论是正确的.     

基于统计能量法的铁路客车室内高频噪声预测与控制

建立了某客车卧铺车厢的整车统计能量分析模型,通过施加轮轨噪声源激励载荷对该车室内噪声水平进行了预测,500 Hz～2500 Hz频率范围内SEA模型的计算结果与实测值的误差在4dB(A)以内.通过包厢壁板对内部声腔的功率输入贡献分析,澄清了地板振动是包厢内低频噪声的主要贡献者,缝隙泄漏则是室内高频噪声的主要贡献者.依据对不同类型地板降噪能力的对比分析以及缝隙面积大小对室内噪声的影响分析,对该车经降噪治理后,室内声压级可降低2dB(A)～3.2dB(A).     

平纹织物复合材料的振动能量耗散以及阻尼分析

平纹织物复合材料由于编织结构的特点，对于振动能量有一定的衰减作用．交织纤维束相互间的阻滞作用以及聚合物基体的粘弹性质都会耗损一部分振动能量．本文应用能量原理和阻尼分析的方法解决了平纹织物复合材料的复杂结构损耗因子的计算问题．     

内损耗因子对铝合金壁板高频疲劳 寿命影响的研究

基于统计能量分析方法计算高超声速飞行器铝合金壁板高频声振响应,分析了在不同内损耗因子情况下壁板均方根应力和危险点响应集中因子.进而采用频域疲劳寿命方法,结合零阶矩应力谱法计算了壁板的高频疲劳寿命,研究了在不同内损耗因子情况下铝合金壁板高频疲劳寿命的变化规律.研究结果表明:随着内损耗因子的增大,壁板的均方响应逐渐减小,但响应集中因子逐渐增大,最终导致壁板疲劳寿命出现先变长后缩短的变化趋势;随着内损耗因子的增大,高频段应力响应对疲劳寿命的贡献量明显增大.     

相关激励下的统计能量分析法（SEA）研究

目前相关激励下的统计能量关系实质是在比例相关或互谱密度为实数的相关激励下获得的,从分析普通相关激励下的功率流入手、给出相关激励下保守耦合系统及非保守耦合系统统计能量关系的普遍形式,实例表明：文中的分析和结论是正确的。     

板结构功率流的参数研究

板以及肋板结构在工程中有着广泛的应用，其振动嗓声问题一直受到理论和工程领域的关注。本文在板结构功率流理论的基础上￣［１］，对板的损耗因子和不同加肋形式对其功率流的影响进行了分析和测量。     

Dynamics of Nonlinear Oscillators under Simultaneous Internal and External Resonances

An analysis is presented for a class of two degree of freedom weakly nonlinear oscillators, with symmetric restoring force. Conditions of one-to-three internal resonance and subharmonic external resonance of the lower vibration mode are assumed to be satisfied simultaneously. As a consequence, the second vibration mode may also be under the action of external primary resonance. Initially, a set of slow-flow equations is derived, governing the amplitudes and phases of approximate long time response of these oscillators, by applying an asymptotic analytical method. Determination of several possible types of steady-state motions is then reduced to solution of sets of algebraic equations. For all these solution types, appropriate stability analysis is also performed. In the second part of the study, this analysis is applied to an example mechanical system. First, a systematic search is performed, revealing effects of system parameters on the existence and stability properties of periodic motions. Frequency-response diagrams are presented and attention is focused on understanding the evolution and interaction of the various solution branches as the external forcing and nonlinearity parameters are varied. Finally, numerical integration of the equations of motion demonstrates that the system exhibits quasiperiodic or chaotic response for some parameter combinations.     

Anomalies associated with energy release parameters for cracks in piezoelectric materials

For a central crack in a piezoelectric plate, the mode-I stress intensity factor (K_I), electric displacement intensity factor (K_D), energy release rates (G, G_M) and energy density factor (S) are obtained from the finite element results. For the impermeable crack, the numerical results of K_I and K_D are coupled; this error is contrary to the uncoupled analytical solutions. The error has little effect on the total energy release rate G and energy density factor S, but in some cases, large errors in the mechanical energy release rate G_M are observed. G is global while SED is local. Also G is negative which defies physics where energy cannot be created while crack attempts to extend as implied by G. Computations should be made for the J-integral and also show that J becomes negative. What this shows is that the global fracture energy criterion is not suitable to address the local release of energy because it includes the overall energy which are irrelevant to fracture initiation being a local behavior. In addition, the case study shows that the energy density theory is the better fracture criterion for the piezoelectric material. According to the results of S, it retards the crack growth when the external electric field and piezoelectric poling are on opposite directions. This conclusion agrees with analytical and experimental evidence in the past references.     

粘弹性铰对梁结构模态性能的影响分析

研究以连接铰结构中置入粘弹性材料的,预紧力大小发迹时引起铰点约束刚度变化对模态性能的影响,给出了平移约束刚度和旋转约束刚度变化时结构模态参数变化的解析表达式,可以分析两个参数同时变化的固有频率和损耗因子变化的三科。可获得对了大损耗因子约束参数,可为结构的被动控制设计提供一定的指导。     

地震作用下MSCSS控制优化参数研究

通过利用复模态分析法定义巨子型结构体系MSCSS(Mega-sub Controlled Structure System)的动力放大系数DMF(Dynamic Magnification Factor)表达式,取激励接近结构基频频段内的动力放大系数为指标,反映了结构各部分参数设置(质量比、刚度比、附加阻尼比及附加柱刚度比)对结构调频减震机理的影响。并采用最大最小化准则选取结构的最优参数范围,该分析法适用于分析不同巨层MSCSS的参数设置。     

Time-harmonic P-waves engulfing a rectangular limited-permeable crack in piezoelectric medium: Energy density and energy release

The dynamic behavior of a limited-permeable rectangular crack in a transversely isotropic piezoelectric material is impinged by to a P-wave. The generalized Almansi theorem and the Schmidt method are used to determine the stress intensity factor and energy density factor as the primary fracture criterion of failure. The mixed boundary value problem entails the evaluation of the appropriate crack edge stress singularities that are characteristics of the fundamental functions. The stress and electric displacement intensity factors are also used to find the energy release rate that can be computed numerically and compared with the results corresponding to those of the stress intensity factor, and energy density factor. Graphical presentation shows that the energy release rate is always negative for the boundary conditions considered while the energy density factors always remain positive. Under certain conditions, the stress and electric displacement intensity factors can be negative and subject to physical limitations. Piezoelectric material boundary value problem solutions should therefore be qualified by the application of failure criteria by fracture of otherwise, particularly when the mechanical and electrical energy can release by creating free surface at the macroscopic and microscopic scales. Negative energy release rate found for the piezoelectric medium in this work can be a case in point.Positive definiteness of the energy density factor can be applied to mutliscale fracture. This is not true for the stress intensity factor nor the energy release rate. Hence, crack initiation behavior for the permittivity of a rectangular crack due to the wave propagation effects may be studied. In particular, the initiation of micro-cracks may be identified with certain critical stress wave frequency band. Negative stress intensity factor may not enhance macrocracking but it does not exclude microcrack initiation.     

黏弹性层合悬臂薄壁圆柱壳的模态特性研究

基于薄壳理论和黏弹性理论, 得出了黏弹性层合悬臂薄壁圆柱壳模态特性的半解析解. 根据乐甫薄壳理论, 建立了基层和黏弹性阻尼层薄壁圆柱壳的一阶状态微分方程, 结合黏弹性阻尼层的变形协调关系和层间作用力关系, 利用传递矩阵法得出了整体结构的传递矩阵, 采用高精度的精细积分法得出了固有频率、模态损耗因子和三维模态振型, 最后通过有限元法进行了比较, 通过算例验证了传递矩阵法对黏弹性层合薄壁圆柱壳模态特性研究的有效性.     

Fracture mechanics of steel plate under Joule heating analyzed by energy density criterion

In the electric-conductive material with fractures, the electric current and Joule heating will induce a local hot spot around the crack tip. By the finite element simulation, this phenomenon has been proved so that it can be applied to the fracture detection for the steel plate. As a result, the temperature variation near the fracture tip must be large enough so that the thermal sensing system can detect the hot spot at the fracture tip. It is necessary to apply large electric current on the steel plate to make obvious temperature variation. However, higher electric current will increase the driving force for the crack growth.     

Polynomial and Exponential Spatial Decay Estimates in Elasticity

In this note we investigate the spatial behavior of the solutions of a combination of a hyperbolic system with an elliptic system. We consider a semi-infinite cylinder which is the union of two sub-cylinders. In one of them, we assume an elastodynamical problem and in the other an elastostatic problem. Both are coupled through an interface. It is known that the elastostatic problem and the elastodynamic problem have a fast decay (at least exponential). However, as their spatial behaviors are of different kind, it is not clear how this combination could be controlled in a similar way. We prove that the decay of solutions can be controlled in a polynomial way. We also describe how to obtain an upper bound for the amplitude term. We conclude the paper sketching the exponential decay behavior for the harmonic vibrations. Supported by the project “Qualitative study of thermomechanical problems” (MTM2006-03706). The author thanks Professor Leseduarte for helping to compose the figures of this paper and an anonymous referee for useful criticisms.