Predicting changes in vibration response of vehicle transmission using first-and second-order iterative embedded sensitivity function
In product manufacturing and test environments, engineers must predict how mechanical components will vibrate when design modifications are made to the mass, damping, or stiffness properties of the components. Which makes predicting changes in vibration response of the modified system being based on the vibration characteristics of original system very important. Embedded sensitivity functions have previously been applied to identify optimal design modifications for reducing linear vibration resonance problems in certain frequency ranges. And it’s also a good way that evaluating the vibration characteristics of nonlinear system bases on statistical method. Two techniques for predicting the forced response of mechanical components for local changes in properties based on (a) first-order multi-step iterative prediction and (b) second-order iterative sensitivity functions are developed. The methods are applied to a single degree of freedom analytical model to determine the accuracy of the predictions. So it is with in vehicle transmission system model. It can gives some suggestions for NVH engineers to acquire local optimal vibration response characteristics according to the technique mentioned above.
1. Beijing Institute of Technology, Beijing 100081,China；
2. Vehicle Research Center, Beijing 100081,China
Abstract：In product manufacturing and test environments, engineers must predict how mechanical components will vibrate when design modifications are made to the mass, damping, or stiffness properties of the components. Which makes predicting changes in vibration response of the modified system being based on the vibration characteristics of original system very important. Embedded sensitivity functions have previously been applied to identify optimal design modifications for reducing linear vibration resonance problems in certain frequency ranges. And it’s also a good way that evaluating the vibration characteristics of nonlinear system bases on statistical method. Two techniques for predicting the forced response of mechanical components for local changes in properties based on (a) first-order multi-step iterative prediction and (b) second-order iterative sensitivity functions are developed. The methods are applied to a single degree of freedom analytical model to determine the accuracy of the predictions. So it is with in vehicle transmission system model. It can gives some suggestions for NVH engineers to acquire local optimal vibration response characteristics according to the technique mentioned above.
[1] 吕振华. 结构动力学修改重分析方法的发展[J]. 计算结构力学及其应用, 1994, 11(1)：85-91.
Lü Zheng-hua. Development of reanalysis methods for structural dynamics modifications[J]. Computational Structural Mechanics and Applications, 1994, 11(1):85-91.
[2] Aryana F, Bahai H. Sensitivity analysis and modification of structural dynamic characteristics using second order approximation[J]. Engineering Structures,2003,25:1279-1287.
[3] Bahai H, Aryana F. Design optimisation of structures vibration behaviour using first order approximation and local modification[J]. Computers and Structures, 2002, 80：1955- 1964.
[4] Elliot K B, Mitchell L D. The effect of modal truncation on modal modification[C]. Proc. 5th Int. Modal Anal. Conf., 1987：72-78.
[5] Braun S, Ram Y M. On structural modifications in truncated systems[C]. Proc. 5th Int. Modal Anal. Conf., 1987：1550- 1556.
[6] Sestieri A. Structural dynamic modification[J]. Sādhanā, 2000, 25(3)：247-259.
[7] Park Y H, Park Y S. Structure optimization to enhance its natural frequencies based on measured frequency response functions[J]. Journal of Sound and Vibration, 2000, 229：1235-1255.
[8] Park Y H, Park Y S. Structural modification based on measured frequency response functions: an exact eigenproperties reallocation[J]. Journal of Sound and Vibration, 2000, 237：411-426.
[9] Özgüven H N. A new method for harmonic response of non-proportionally damped structures using undamped modal data[J]. Journal of Sound and Vibration, 1987, 117:313-328.
[10] Özgüven H N. Structural modifications using frequency response functions[J]. Mechanical Systems and Signal Processing, 1990, 4(1):53-63.
[11] Yang C, Adams D E. Predicting changes in vibration behavior using first- and second-order iterative embedded sensitivity functions[J]. Journal of Sound and Vibration, 2009, 323:173-193.
[12] 刘辉, 项昌乐, 郑慕桥. 车辆动力传动系固有特性灵敏度分析及动力学修改[J]. 汽车工程, 2003, 25(6):591-594.
LIU Hui, XIANG Chang-le, ZHENG Mu-qiao. Sensitivity analysis and dynamic modification of natural characteristic in vehicle powertrain[J]. Automotive Engineering, 2003, 25(6): 591-594.
[13] 黄毅,刘辉,陈胤奇,等. 车辆传动系统线性弯扭耦合振动响应灵敏度研究[J]. 振动工程学报, 2014, 27(3):333- 340.
HUANG Yi, LIU Hui, CHEN Yin-qi, et al. Response sensitivity of the linear vibration of the gear System of the vehicle transmission[J]. Journal of Vibration Engineering, 2014, 27(3):333-340.
[14] 黄毅,刘辉,项昌乐,等. 车辆传动系统非线性平移扭转耦合振动响应灵敏度研究[J]. 振动与冲击,2014,33(23):97-105.
HUANG Yi, LIU Hui, XIANG Chang-le, et al. Response sensitivity of the nonlinear vibration of lateral-torsional coupling model of vehicle transmission[J]. Journal of Vibration and Shock, 2014, 33(23):97-105.
