Investigation of an approximate analysis method for multibody systems with viscoelastic body

Abstract An approximate analysis method for brake squeal is presented. Using MSC/NASTRAN a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor. The friction coefficient can be pressure dependent. Next, linearized complex modes are found where the interface is set in a slip condition. Since the entire interface is set sliding, it produces the maximum friction work possible during the vibration. It is a conservative measure for stability evaluation. An averaged friction coefficient is measured and used during squeal. Dynamically unstable modes are found during squeal. They are due to friction coupling of neighboring modes. When these modes are decoupled, they are stabilized and squeal is eliminated. Good correlation with experimental results is shown. It will be shown that the complex modes baseline solution is insensitive to the type of variations in pressure and velocity that occur in a test schedule. This is due to the conservative nature of the approximation. Convective mass effects have not been included.

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Efficient Dynamic Analysis Method for Multibody Systems With Constraint Violation Stabilization Method

Volume 7A: 17th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc99/vib-8255 ◽

1999 ◽

Author(s):

Apiwat Reungwetwattana ◽

Shigeki Toyama

Keyword(s):

Dynamic Analysis ◽

Multibody Systems ◽

Analysis Method ◽

Stabilization Method ◽

Kinematic Constraint ◽

Constraint Violation ◽

Closed Loops ◽

Constraint Stabilization ◽

Constraint Equations ◽

Crank Mechanism

Abstract This paper presents an efficient extension of Rosenthal’s order-n algorithm for multibody systems containing closed loops. Closed topological loops are handled by cut joint technique. Violation of the kinematic constraint equations of cut joints is corrected by Baumgarte’s constraint violation stabilization method. A reliable approach for selecting the parameters used in the constraint stabilization method is proposed. Dynamic analysis of a slider crank mechanism is carried out to demonstrate efficiency of the proposed method.

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Assessment of the possibilities of applying approximate analysis method to measurement of complex permittivity in TE01ncylindrical cavity

Journal of Physics E Scientific Instruments ◽

10.1088/0022-3735/12/5/016 ◽

1979 ◽

Vol 12 (5) ◽

pp. 391-396 ◽

Cited By ~ 3

Author(s):

J Krupka ◽

A Milewski

Keyword(s):

Complex Permittivity ◽

Approximate Analysis ◽

Analysis Method

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Application of the probabilistic approximate analysis method to a turbopump blade analysis

10.2514/6.1990-1098 ◽

1990 ◽

Cited By ~ 3

Author(s):

B. THACKER ◽

R. MCCLUNG ◽

H. MILLWATER

Keyword(s):

Approximate Analysis ◽

Analysis Method

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524 Consideration on nonlinear sloshing of liquid storage tank by modal approximate analysis method

The Proceedings of Conference of Kansai Branch ◽

10.1299/jsmekansai.2014.89._5-24_ ◽

2014 ◽

Vol 2014.89 (0) ◽

pp. _5-24_

Author(s):

Shintaro Chisaka ◽

Katsuhisa Fujita ◽

Tadao Kawai

Keyword(s):

Storage Tank ◽

Approximate Analysis ◽

Analysis Method ◽

Nonlinear Sloshing ◽

Liquid Storage ◽

Liquid Storage Tank

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Matrix Analysis Method for Direct and Multiple Contact Multibody Systems

Journal of Mechanical Design ◽

10.1115/1.2912586 ◽

1990 ◽

Vol 112 (2) ◽

pp. 145-152 ◽

Cited By ~ 10

Author(s):

P. N. Sheth ◽

T. M. Hodges ◽

J. J. Uicker

Keyword(s):

Multibody Systems ◽

Geometric Modeling ◽

Numerical Procedure ◽

Analytical Techniques ◽

Matrix Analysis ◽

Analysis Method ◽

Mobility Analysis ◽

Modeling Procedure ◽

Dynamic Analyses ◽

Geometrically Constrained

A generalized modeling procedure for curves and surfaces in direct contact relative motions is developed, such that these joints can be consistently included in the well-developed and established (4 × 4) matrix method for kinematic, static, and dynamic analyses of geometrically constrained lower paired multibody mechanical systems. The modeling procedure allows both the analytical and the discretized Geometric Modeling approaches. As one application of these analytical techniques, a numerical procedure for mobility analysis of multiple contact joints is presented and illustrated. Other applications of this development are enumerated.

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