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通过对激励点进行面平均,研究了点简谐力激励下圆板在固定及简支边界条件下弯曲振动时的模态辐射效率及平均辐射效率,分析了圆板的厚度、阻尼损耗因子、半径及边界条件对其平均辐射效率的影响规律。研究表明:圆板在点简谐力的激励下,其模态辐射效率及平均辐射效率在中、低频段随频率的增高而增大,而在高频段二者则均趋近于1;圆板的平均辐射效率与激励力的大小及位置无关,而由圆板的厚度、阻尼损耗因子、边界条件及半径所决定;当频率一定时,圆板的平均辐射效率在中频段随着其厚度、阻尼损耗因子的增大及半径的减小而增大,而在低频段,则与这三个因素无关;固定及简支边界条件下圆板在全频段的平均声辐射效率基本相同。 相似文献
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研究比较简支矩形板在空气中与水中声辐射特性参数,分别建立结构在空气中与水中结构振动方程,并利用Rayleigh积分公式,表示结构表面声压,获得结构表面振速的求解方程。进一步由振动模态正交性和坐标变换,将声辐射阻抗化为二重积分形式,从而确定结构振动模态系数,获得结构声辐射特性参数。求取简支矩形薄板在空气中和水中辐射声功率、均方振速和声辐射效率,并对其进行对比。研究结果可为各类板结构振动与噪声控制提供理论参考。 相似文献
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阶梯圆盘辐射体因其辐射面积大、辐射效率高等优点在大功率超声领域获得了广泛的应用。从声学应用角度,基于Mindlin理论推导了厚阶梯圆盘在自由、固定、简支边界条件下的频率方程,并分别对频率方程进行数值求解,结果表明计算得到的频率与有限元模拟及实验测试结果基本相符。该结论为厚盘的弯曲振动辐射器的设计提供了理论参考。 相似文献
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由试验模态分析确定振动物体的辐射效率 总被引:3,自引:0,他引:3
在工程应用中,常采用辐射效率来建立振动与声之间的桥梁。但对于不规则的振动板壳结构其辐射效率在理论解析范围内是难以获得的。本文根据振动模态分析方法,推导了板壳结构的各阶模态辐射效率的计算公式。针对S195型柴油机的齿轮盖板,应用试验模态分析获得了各阶模态的振型函数,由此根据本文推导的公式,计算了齿轮盖板的各阶模态辐射效率,可作为工程应用的依据。 相似文献
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自振特性在结构的动力分析中具有重要的意义。将回传射线矩阵法(MRRM)推广到地基梁自振特性的研究中,通过节点力平衡和位移协调方程及对偶局部坐标系下单元相位关系,建立两端简支、两端自由、两端固支、简支-自由、简支-固支及固支-自由这六种边界条件下黏弹性Pasternak地基上的Bernoulli-Euler梁的回传射线矩阵,进而得到其频率方程。根据单一局部坐标系下的边界条件,推导出模态函数解析表达式,进一步根据正交归一化条件求解模态函数表达式中的未知参数。通过具体算例验证了回传射线矩阵法求解的正确性,并对不同边界条件下的自振频率、衰减系数及模态函数进行了分析。为黏弹性地基梁的振动特性研究提供理论基础。 相似文献
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船舶、汽车和飞机等高速运动时,其外壳受湍流边界层壁面脉动压力激励而产生的内场声辐射成为该类交通工具自噪声的重要成分。基于模态叠加法计算结构振动响应。采用湍流壁面脉动压力功率谱Corcos模型,计算了外侧气流或水流湍流边界层激励下简支平板振动及内场辐射声,计算值与解析解和试验值吻合良好,验证了算法的有效性。采用湍流壁面脉动压力功率谱改进型Corcos模型,研究了外侧水流湍流边界层激励下平板及板格的振声响应特性,结果表明:水流马赫数低,壁面脉动压力迁移波数大于平板结构弯曲波数,壁面脉动压力波数-频率谱的迁移脊对平板的激励作用可以忽略;横向或纵向加筋对板格振动速度自功率谱级基本无影响;减小板格宽度与长度之比,适当增大板格流向长度可使平板振动辐射声功率在2 000 Hz以上明显降低。 相似文献
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Zijie Fan 《International journal for numerical methods in engineering》2001,51(5):619-630
This work considers transient vibration and sound radiation from an impact‐excited rectangular plate with viscoelastic boundary supports. The approach used is based on the modal strain energy (MSE) method. Vibration of the plate is approximated by a double infinite series in the spatial co‐ordinates. Each term of the series is constructed with vibration modes of beams having the same boundary conditions as the plate, multiplied by a time‐dependent function. Modal loss factor of each mode is obtained by the MSE method. The sound radiation pressure in the time and frequency domain is obtained by numerical integration of the Rayleigh integral. Effects of the viscoelastic boundary supports on the vibration response and the radiated sound pressure of the vibrating plate are also discussed. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
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Yufeng Qiao Qibai Huang 《International Journal of Mechanics and Materials in Design》2005,2(3-4):99-112
The sound radiation characteristic from un-baffled rectangular plates is studied in this paper. Both the pressure jump and the transverse displacement of vibrating rectangular plates are also presented. The sound power level radiated from un-baffled plates is numerically calculated by using a double layer integral representation of the sound radiation pressure and the modal coupling coefficients. Rectangular plates with clamped support and elastically support encountered frequently are calculated as numerical experiments. The sound power level radiated from baffled rectangular plates with the same boundary conditions are also calculated in numerical experiments for comparison. From the viewpoint of energy, average velocity square of un-baffled and baffled rectangular plates with␣different boundary conditions is also calculated respectively. The relationship of sound radiation efficiency between un-baffled and baffled rectangular plates is also deduced.This Works is supported by the National Natural
Science Foundation of China (Grant No. 50075029) 相似文献
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厚盘辐射体机械强度高,横向尺寸小,在高频大功率声辐射条件被广泛应用。基于Mindin理论对厚圆盘的弯曲振动辐射声场特性进行了研究,推导出三种边界条件下厚圆盘辐射声场指向性的数值表达式,编制程序并研究其声辐射特性。结果表明,不同边界条件下的相同尺寸厚圆盘各阶指向性的尖锐程度不同,其中固定边界条件下辐射主声束角宽度最窄即指向性最尖锐,自由边界条件下主声束角宽度最宽,即指向性最不尖锐,简支边界条件次之;并且随着振动阶数和厚度的增加,各边界条件下厚圆盘的辐射声场主瓣指向性越来越尖锐,旁瓣逐渐增加,指向性变得越来越复杂。对同一频率、不同材料的厚盘,材料对其指向性的影响较小,但对同一尺寸、不同频率的厚盘,材料对其指向性的影响较大,研究结果对厚盘弯曲振动辐射体的应用提供了参考。 相似文献
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Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory 总被引:1,自引:0,他引:1
Natural frequencies and buckling stresses of plates made of functionally graded materials (FGMs) are analyzed by taking into account the effects of transverse shear and normal deformations and rotatory inertia. The modulus of elasticity of the plates is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. By using the method of power series expansion of displacement components, a set of fundamental dynamic equations of a two-dimensional (2-D) higher-order theory for rectangular functionally graded (FG) plates is derived through Hamilton’s principle. Several sets of truncated approximate theories are applied to solve the eigenvalue problems of FG plates with simply supported edges. In order to assure the accuracy of the present theory, convergence properties of the fundamental natural frequency are examined in detail. Critical buckling stresses of FG plates subjected to in-plane stresses are also obtained and a relation between the buckling stress and natural frequency of simply supported FG plates without in-plane stresses is presented. The distributions of modal displacements and modal stresses in the thickness direction are obtained accurately by satisfying the surface boundary conditions of a plate. The modal transverse stresses have been obtained by integrating the three-dimensional equations of motion in the thickness direction starting from the top or bottom surface of a plate. The present numerical results are also verified by satisfying the energy balance of external and internal works are considered to be sufficient with respect to the accuracy of solutions. It is noticed that the present 2-D higher-order approximate theories can predict accurately the natural frequencies and buckling stresses of simply supported FG plates. 相似文献
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研究矩形平板的远场声压级,建立简支边界矩形障板和滑移边界矩形障板模型。采用傅里叶变换获得远场声压级,分析点激励载荷和线激励载荷作用下远场声压级的变化规律,并讨论激励载荷位置以及结构物理特性参数对远场声压级的影响。结果表明,远场声压随着激励载荷靠近边缘而减小,相对于简支边界而言,滑移边界能增强远场声压级。随着损耗因子、板厚的增大,将减小整个频率段内的远场声压级。另外,板密度对远场声压级的影响在低频段和高频段也呈现不同的变化规律。通过声压级变化规律的分析研究,能为声学元件设计和噪声控制机理的分析提供一定的依据。 相似文献
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由于水中结构的振动声辐射要考虑流体加载效应,因此水中结构声辐射的模态分析也与空气中的有所不同。基于辐射声功率的二次型表达式,采用有限元和Rayleigh积分耦合方法,对板结构的水下声功率模态进行了计算分析研究,通过辐射效率、模态振型和辐射声功率等探讨了其特点。结果表明以激励力为变量、考虑了结构阻抗的水下声功率模态具有各阶模态声辐射独立、低频时前几阶模态(特别是第1阶模态)的声辐射占主导地位、模态辐射效率峰值和模态振型物理意义清楚等特点,在水下结构振动声辐射的分析和控制方面有一定实用价值。 相似文献
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