Inverse Substructuring Methods for Identifying Coupling Dynamic Stiffness of Mechanical Assembly

2016 ◽  
Vol 52 (9) ◽  
pp. 86 ◽  
Author(s):  
Guangqing LV
2012 ◽  
Vol 562-564 ◽  
pp. 552-555
Author(s):  
Guang Qing Lu ◽  
Dong Mei Pang ◽  
Kui Dong ◽  
Bin Zhou ◽  
Xian Neng Li

Indirect inverse substructuring dynamic analysis has been developed recently by the author of this paper and provides a new simple approach to determine the coupling dynamic stiffness, which is one of important characteristics estimating dynamic quality of a mechanical product assembly. Based on a physical model consisting of “8-mass plus 16-spring and 8-damping” elements, this paper provides a set of validation on the completeness and effectiveness of the approach. Experimental verification is also carried out by use of eighty testing data of frequency response functions (FRFs).


2012 ◽  
Vol 562-564 ◽  
pp. 556-559 ◽  
Author(s):  
Guang Qing Lu ◽  
Lei Wang ◽  
Kui Dong ◽  
Xin Guang Lu ◽  
Xian Neng Li

Indirect inverse substructuring dynamic analysis has been developed recently by the author of this paper and provides a new simple approach to identify the coupling dynamic stiffness of mechanical assemblies. To analyze the error effects of measuring frequency response fuctions (FRFs) on the identification, this study implements a set of parametric studies on basis of a lamped mass model to deal with parametric studies which result in some guidance for applications of the approach.


2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Jun Wang ◽  
Li-xin Lu ◽  
Pengjiang Qian ◽  
Li-qiang Huang ◽  
Yan Hua ◽  
...  

The aim of this paper is to develop a new frequency response function- (FRF-) based indirect inverse substructuring method without measuring system-level FRFs in the coupling DOFs for the analysis of the dynamic characteristics of a three-substructure coupled product transport system with rigid and flexible coupling. By enforcing the dynamic equilibrium conditions at the coupling coordinates and the displacement compatibility conditions, a closed-form analytical solution to inverse substructuring analysis of multisubstructure coupled product transport system is derived based on the relationship of easy-to-monitor component-level FRFs and the system-level FRFs at the coupling coordinates. The proposed method is validated by a lumped mass-spring-damper model, and the predicted coupling dynamic stiffness is compared with the direct computation, showing exact agreement. The method developed offers an approach to predict the unknown coupling dynamic stiffness from measured FRFs purely. The suggested method may help to obtain the main controlling factors and contributions from the various structure-borne paths for product transport system.


2017 ◽  
Vol 95 (1) ◽  
pp. 9 ◽  
Author(s):  
A. Wolc ◽  
J. Arango ◽  
P. Settar ◽  
N. P. O’Sullivan ◽  
J. C. M. Dekkers

Author(s):  
Md. Imran Ali ◽  
Mohammad Sikandar Azam

This paper presents the formulation of dynamic stiffness matrix for the natural vibration analysis of porous power-law functionally graded Levy-type plate. In the process of formulating the dynamic stiffness matrix, Kirchhoff-Love plate theory in tandem with the notion of neutral surface has been taken on board. The developed dynamic stiffness matrix, a transcendental function of frequency, has been solved through the Wittrick–Williams algorithm. Hamilton’s principle is used to obtain the equation of motion and associated natural boundary conditions of porous power-law functionally graded plate. The variation across the thickness of the functionally graded plate’s material properties follows the power-law function. During the fabrication process, the microvoids and pores develop in functionally graded material plates. Three types of porosity distributions are considered in this article: even, uneven, and logarithmic. The eigenvalues computed by the dynamic stiffness matrix using Wittrick–Williams algorithm for isotropic, power-law functionally graded, and porous power-law functionally graded plate are juxtaposed with previously referred results, and good agreement is found. The significance of various parameters of plate vis-à-vis aspect ratio ( L/b), boundary conditions, volume fraction index ( p), porosity parameter ( e), and porosity distribution on the eigenvalues of the porous power-law functionally graded plate is examined. The effect of material density ratio and Young’s modulus ratio on the natural vibration of porous power-law functionally graded plate is also explained in this article. The results also prove that the method provided in the present work is highly accurate and computationally efficient and could be confidently used as a reference for further study of porous functionally graded material plate.


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