A method of transmissibility design for dual-chamber pneumatic vibration isolator

Abstract Dual-chamber pneumatic vibration isolators have a wide range of applications for vibration isolation of vibration-sensitive equipment. Recent advances in precision machine tools and instruments such as medical devices and those related to nano-technology require better isolation performance, which can be efficiently achieved by precise modeling- and design- of the isolation system. This paper discusses an efficient transmissibility design method of a pneumatic vibration isolator wherein a complex stiffness model of a dual-chamber pneumatic spring developed in our previous study is employed. Three design parameters, the volume ratio between the two pneumatic chambers, the geometry of the capillary tube connecting the two pneumatic chambers, and, finally, the stiffness of the diaphragm employed for prevention of air leakage, were found to be important factors in transmissibility design. Based on a design technique that maximizes damping of the dual-chamber pneumatic spring, trade-offs among the resonance frequency of transmissibility, peak transmissibility, and transmissibility in high frequency range were found, which were not ever stated in previous researches. Furthermore, this paper discusses the negative role of the diaphragm in transmissibility design. The design method proposed in this paper is illustrated through experimental measurements.

[1]  Tianshou Zhao,et al.  The Friction Coefficient of A Fully-Developed Laminar Reciprocating Flow in a Circular Pipe , 1996 .

[2]  Hal Amick,et al.  Facility Vibration Issues for Nanotechnology Research , 2002 .

[3]  Tianshou Zhao,et al.  Experimental studies on the onset of turbulence and frictional losses in an oscillatory turbulent pipe flow , 1996 .

[4]  Kwang-Joon Kim,et al.  Modeling of nonlinear complex stiffness of dual-chamber pneumatic spring for precision vibration isolations , 2007 .

[5]  Rajendra Singh,et al.  Inclusion of measured frequency- and amplitude-dependent mount properties in vehicle or machinery models , 2001 .

[6]  N. Tschoegl The Phenomenological Theory of Linear Viscoelastic Behavior , 1989 .

[7]  Jasbir S. Arora,et al.  Introduction to Optimum Design , 1988 .

[8]  S. H. Crandall The role of damping in vibration theory , 1970 .

[9]  Cyril M. Harris,et al.  Shock and vibration handbook , 1976 .

[10]  Bruce H. Wilson,et al.  An improved model of a pneumatic vibration isolator : Theory and experiment , 1998 .

[11]  Colin G. Gordon Generic criteria for vibration-sensitive equipment , 1992, Other Conferences.

[12]  D. B. DeBra,et al.  Design of Laminar Flow Restrictors for Damping Pneumatic Vibration Isolators , 1984 .

[13]  Kwang-Joon Kim,et al.  Computation of Complex Stiffness of Inflated Diaphragm in Pneumatic Springs by Using FE Codes , 2006 .

[14]  Rajendra Singh,et al.  Nonlinear frequency responses of quarter vehicle models with amplitude-sensitive engine mounts , 2008 .