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Structural Engineering and Mechanics
  Volume 28, Number 6, April20 2008, pages 677-694

Design optimization of vibration isolation system through minimization of vibration power flow
Shilin Xie, Siu Wing Or, Helen Lai Wa Chan, Ping Kong Choy and Peter Chou Kee Liu

    A vibration power minimization model is developed, based on the mobility matrix method, for a vibration isolation system consisting of a vibrating source placed on an elastic support structure through multiple resilient mounts. This model is applied to investigate the design optimization of an X-Y motion stage-based vibration isolation system used in semiconductor wire-bonding equipment. By varying
the stiffness coefficients of the resilient mounts while constraining the dynamic displacement amplitudes of the X-Y motion stage, the total power flow from the X-Y motion stage (the vibrating source) to the equipment table (the elastic support structure) is minimized at each frequency interval in the concerned frequency range for different stiffnesses of the equipment table. The results show that when the equipment table is relatively flexible, the optimal design based on the proposed vibration power minimization model gives significantly little power flow than that obtained using a conventional vibration force minimization model at some critical frequencies. When the equipment table is rigid enough, both models provide almost the same predictions on the total power flow.
Key Words
    design optimization; elastic support structure; power flow; vibration isolation.
Shilin Xie, Siu Wing Or and Helen Lai Wa Chan: Dept. of Applied Physics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
Ping Kong Choy and Peter Chou Kee Liu: ASM Assembly Automation Ltd., 3/F., Watson Centre, 16 Kung Yip Street, Kwai Chung, New Territories, Hong Kong

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