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1.
This paper is concerned with the free vibration analysis of open circular cylindrical shells with either the two straight edges or the two curved edges simply supported and the remaining two edges supported by arbitrary classical boundary conditions. Based on the Donnell-Mushtari-Vlasov thin shell theory, an analytical solution of the traveling wave form along the simply supported edges and the modal wave form along the remaining two edges is obtained. With such a unidirectional traveling wave form solution, the method of the reverberation-ray matrix is introduced to derive the equation of natural frequencies of the shell with different classical boundary conditions. The exact solutions for natural frequencies of the open circular cylindrical shell are obtained with the employment of a golden section search algorithm. The calculation results are compared with those obtained by the finite element method and the methods in the available literature. The influence of length, thickness, radius, included angle, and the boundary conditions of the open circular cylindrical shell on the natural frequencies is investigated. The exact calculation results can be used as benchmark values for researchers to check their numerical methods and for engineers to design structures with thin shell components. 相似文献
2.
Considering the effect of planet’s number on the dynamic characteristics of the planetary gear system, a translation-torsion lumped-parameter model of 2K-H spur planetary gear system was established. Through the analysis of numerical solution, the results show that 1) When the planet’s number is more than 3, the order of the natural frequency will become the same; 2) When the planet’s number increases, the natural frequencies of planet mode remain invariant, but when it comes to rotational mode and translational mode, the higher order natural frequencies increase and the lower order natural frequencies decrease; 3) The planet’s number has a great impact on the higher order natural frequencies and a little impact on the lower order natural frequencies; and 4) To avoid the resonance, we can appropriately increase or decrease the number of the planet. 相似文献
3.
为了获取某四驱汽车防滑差速器壳体的固有振动特性和验证所建有限元模型的正确性,以某四驱汽车防滑差速器壳体为研究对象,首先基于Abaqus软件对其进行模态仿真分析,得到了防滑差速器前6阶固有特性参数及其振型;然后运用锤击实验对防滑差速器进行模态分析实验,测取其振动情况;最后将两种方法获取的差速器壳体前6阶振型及振动频率进行对比。结果发现两种方法获取的各阶振型基本一致,固有频率误差在5%以内。这种以模态仿真分析为前提,模态实验为补充,仿真结果与实验结果相对比的分析方法有效地验证了有限元模型的正确性,为防滑差速器的有限元分析提供了有效的参考依据。 相似文献
4.
This paper is aimed to propose an approach to predict the dynamic characteristics of ring-plate planetary indexing cam mechanism,
which is a novel type of indexing mechanism that employs internal planetary transmission structure. Firstly, the geometry
and structure of the mechanism are discussed and the kinematic practicability is simulated with virtual prototype design.
Then a 3D finite element model of the ring-plate planetary indexing cam mechanism is developed with the commercial software
of MATLAB and ANSYS. Through the finite element analysis, the natural frequencies and the corresponding mode shapes are predicted
in one motion cycle. On the basis of the virtual prototype design and finite element analysis, an experimental prototype is
made and tested to validate the prediction of the dynamic characteristics. The agreement between experimental results and
the finite element analysis testifies that the finite element model developed is applicable to the prediction of the dynamic
characteristics of this type of mechanism. 相似文献
5.
Based on the modal analysis theory and by using the dynamics finite element analysis model of a three-dimensional assembly circuit module, dynamic characteristics of circuit module have been studied, including both natural characteristics analysis and dynamic responses analysis. Using a subspace method, modal analysis is first carried out. The first 6 orders of natural frequencies and vibration modes are obtained. Influence of the number of the Z-shaped metal slices on dynamic characteristics of the entire structure is also studied.Harmonic response analysis is then conducted. The steady-state response when the circuit module is subjected to harmonic excitation is determined. A curve of the response values against frequencies is obtained. As a result, the optimal number of Z-shaped metal slices can be determined, and it can be assured that the three-dimensional assembly circuit module has good performance in terms of the dynamic characteristics. 相似文献
6.
获取机床结构的动态特性是确保精密加工的重要手段之一.基于有限元分析软件ANSYS Workbench 12.0,在Pro/E软件中建立机床主轴、主轴箱三维模型,进而将其导入ANSYS Workbench 12.0中进行有限元建模和模态分析,获得了固有频率和振型;在此基础上,分析了振型图中的最大变形区域,评价了共振薄弱点并提出了相应的结构修改建议. 相似文献
7.
带肋圆柱壳结构广泛应用于许多工程实践之中,用有限元分析方法对不同封端的带肋圆柱壳结构进行了研究,结果表明实体模型封端的变化只影响到带肋圆柱壳结构离封端较近处壳体的应力,当封端为平板时,只影响到附近3跨,当封端为半球面时,只影响到附近1跨,其他各跨的等效应力值基本相等,即封端为平扳时的过渡段长度大于封端为半球面时的过渡段长度。建议在进行带肋圆柱壳结构试验时优先选用半球面封端,这样可以使实体模型的长度减少,同样可以获得带肋圆柱壳典型跨的强度数据。 相似文献
8.
曲轴的建模及其自由模态分析 总被引：4，自引：0，他引：4
根据EQB140-20曲轴的原始几何尺寸，依据一定的简化条件，建立了曲轴的有限元网格化模型。并且利用有限元理论计算了曲轴的前五阶自由模态。结果表明，曲轴在低阶频率下，主要以弯曲模态为主。然后在曲轴的某个位置开设了不同深度的横向裂纹，研究了曲轴上存在裂纹以及裂纹的深度变化时，曲轴的固有特性的变化情况。结果表明，裂纹的存在，并不改变曲轴的自振形式，但是曲轴的固有频率与不合裂纹前相比，却有了明显降低，随着裂纹的不断加深，固有频率的降低也越来越大，固有频率的降低可以看作曲轴上存在裂纹的一个指标。 相似文献
9.
用有限元计算桥梁结构的前几阶固有频率和振型等模态参数,在此基础上进行现场动态测试,将动测信号进行频谱分析,可识别出桥梁结构的固有频率等参数.综合分析表明,该桥梁结构动力特性的计算值与动测识别值两者是一致的,因此,该大桥动力特性达到了设计要求.这种计算和现场测试相结合的方法,能可靠得到桥梁结构的动力特性,借此,可检验大桥的施工质量和确定大桥的实际承载能力. 相似文献
10.
牟廉明 《内江师范学院学报》2009,24(4):5-8
给出了多重集的定义,讨论了有限多重集的若干运算及其性质,得出有限多重集容斥原理仍然成立,而排中律不成立;有限多重集幂集的交、并、补运算构成软代数．建立了有限多重集比较完善的理论体系． 相似文献
11.
The element-free Galerkin method is proposed to solve free vibration of rectangular plates with finite interior elastic point supports and elastically restrained edges.Based on the extended Hamilton＇s principle for the elastic dynamics system,the dimensionless equations of motion of rectangular plates with finite interior elastic point supports and the edge elastically restrained are established using the element-free Galerkin method.Through numerical calculation,curves of the natural frequency of thin plates with three edges simply supported and one edge elastically restrained,and three edges clamped and the other edge elastically restrained versus the spring constant,locations of elastic point support and the elastic stiffness of edge elastically restrained are obtained.Effects of elastic point supports and edge elastically restrained on the free vibration characteristics of the thin plates are analyzed. 相似文献
12.
The structural circumferential periodicity of inertial excitation produced by concentrated mass was utilized to establish the mathematical model of thin circular plate carrying eccentric concentrated mass and to analyze its transverse vibration. The fundamental frequency coefficient, natural frequency and mode shape function are determined by this method. A clamped thin circular plate was taken as an example to study the mass effect on the vibrating system.Comparison between the present results and published ones exhibits excellent agreement, which shows that the analytical method in this paper can be used to predict the transverse vibration parameters accurately. 相似文献
13.
ZHU Bin LEUNG A.Y.T. 《浙江大学学报(A卷英文版)》2006,7(8):1351-1357
INTRODUCTION Thin-walled structures have considerable tech-nological importance in many situations of engi-neering practice. The rotary and warping inertia terms should be considered in the analyses of thin-walled structures (Alwis and Wang, 1996), although it is difficult to obtain the analytical solutions of govern-ing differential equations, especially of thin-walled frame and spatial twisted structure. The finite element method (FEM) is widely used for vibration and sta-bility analy… 相似文献
14.
A dynamic finite element method combined with finite element mixed formula for contact problem is used to analyze the dynamic characteristics of gear system. Considering the stiffness excitation, error excitation and meshing shock excitation, the dynamic finite element model is established for the entire gear system which includes gears, shafts, bearings and gearbox housing. By the software of I-DEAS, the natural frequency, normal mode, dynamic time-domain response, frequency-domain response and one-third octave velocity grade structure borne noise of gear system are studied by the method of theoretical modal analysis and dynamic response analysis. The maximum values of vibration and structure borne noise are occurred at the mesh frequency of output grade gearing. 相似文献
15.
本文研究了一种新型棒式超声工具杆的振动特性.该工具杆由粗段和细段组成.根据一维等截面细杆纵向振动的理论,推导出了工具杆的共振频率方程.利用有限元软件ANSYS对一组工具杆进行了模态分析,计算出了共振频率及振动位移分布曲线,结果表明,理论值与模拟值符合很好.文中最后给出了此类工具杆设计的一般规律. 相似文献
16.
李滨 《四川教育学院学报》2010,26(5):108-109
自然数的幂和在幂指数较大的情况下计算是比较困难的。文章通过将自然数的幂表示为组合的线性结构,通过组合恒等式计算幂和,是一种行之有效的方法。 相似文献
17.
基于非局部理论,建立了受初始拉力的纳米梁的横向自由振动的力学模型。考虑了非局部效应对于固有频率和振动模态的影响,并以两端简支纳米梁为例,运用分离变量法和多尺度分析法考察了梁的线性振动特征。分别讨论了振动模态与无量纲化轴坐标,以及固有频率与非局部参量的关系。两种方法求得结果非常接近,这证明了新建纳米梁横向振动模型的有效性。 相似文献
18.
采用有限元方法对K5206NM压缩机机体进行了模态分析和振动响应分析,不仅获得了机体的固有频率和振型,还得出机体在动态工况下的位移、应力、速度及加速度变形云图,找到了机体结构的薄弱环节,并提出了相应的改进方案,为机体的结构设计改进提供理论依据. 相似文献
19.
To study the mechanical properties of the film/substrate structure, the finite element code ABAQUS v6.9-1 is adopted to simulate the tensile mechanical behavior of the nanoscale thin film bonded to a substrate. The bifurcation phenomenon of the structure under uniaxial tension is found: the single-neck deformation, the multiple-neck deformation and the uniform deformation. The substrate and the film are regarded as power-hardening materials obeying the J 2 deformation theory. Firstly, the influence of material hardening match on tensile bifurcation mode is analyzed under perfectly well-bonded interface condition. Then, the effects of interfacial stiffness and other superficial defects surrounding the imperfection on bifurcation mode are investigated. It is concluded that under the well-bonded interface condition, if the stress of the substrate is larger than the film, the film will uniformly deform with the substrate; if the stress of the substrate is smaller than the film, the film will form a single neck, except the case that a weakly-hardening film is bonded to a steeply-hardening substrate when multiple necks can be formed. With the decrease of interfacial stiffness, the uniform deformation mode can transform into the multiple-neck deformation mode, and further transform into the single-neck deformation mode. And other defects surrounding the imperfection can influence the wavelength of deformation and neck number. 相似文献
20.
Carbon encapsulated iron nanoparticles(CEINPs) with very thin shells and good core-shell structures were prepared by DC arc discharge at argon intake temperature(AIT) of 800 ℃. The results of high resolution transmission electron microscope(HRTEM), energy dispersive X-ray(EDX) spectroscope, X-ray diffraction(XRD), and X-ray photoelectron spectroscope(XPS) characterizations on the product B show that the thickness of the carbon shells of CEINPs in the product B is in the range of ca. 0.5—5.3 nm, i. e., which can be as thin as only two layers of graphite. The average diameter of the CEINPs is about 24. 7 nm. The total content of Fe element in the product B is 77.0 wt%. The saturation magnetization(Ms) and coercivity(Hc) of the product B are 107.4 emu/g and 143 Oe, respectively. The formation of the CEINPs in the product B is discussed briefly. 相似文献