Random Vibration and the Single Degree-of-Freedom Vibratory System: A Symbolic Quantification of Isolation and Packaging Performance

1994 ◽  
Vol 116 (1) ◽  
pp. 1-5 ◽  
Author(s):  
R. C. Redfield
Keyword(s):  
Random Vibration ◽  
Degree Of Freedom ◽  
Vibratory System ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
System A

An Approximate Method for the Dynamic Analysis of Elastic Linkages

1977 ◽  
Vol 99 (2) ◽  
pp. 449-455 ◽  
Author(s):  
A. Midha ◽  
A. G. Erdman ◽  
D. A. Frohrib
Keyword(s):  
Exact Analytical Solution ◽  
Equations Of Motion ◽  
Numerical Procedure ◽  
Degree Of Freedom ◽  
Suggested Approach ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
System A ◽  
Suggested Technique ◽  
Particular Solution

A new numerical procedure based on an iterative technique is progressively developed in this paper for obtaining an approximate particular solution from the equations of motion of an elastic linkage with small damping and at subresonant speeds. The method is introduced by employing a simple vibrating system, a single degree-of-freedom mass-dashpot-spring model under both harmonic forcing and periodic forcing. A harmonically excited two degree-of-freedom model is also solved by the suggested approach. Error functions are developed for each case to give an estimation of the order of error between the exact analytical solution and the approximate technique. The suggested technique is then extended to solve an elastic linkage problem where the uncoupled equations of motion are treated as a series of single degree-of-freedom problems and solved. These are retransformed into the physical coordinate system to obtain the particular solution. The first and second derivatives of the forcing functions (involving rigid-body inertia) are approximated utilizing the finite difference method.

Probabilistic Analysis and Design of a MEMS Re-Entry Switch

2005 ◽  
Author(s):  
R. V. Field ◽  
S. Reese
Keyword(s):  
Probabilistic Analysis ◽  
Random Variables ◽  
Degree Of Freedom ◽  
Model Parameters ◽  
Rigid Barrier ◽  
Single Degree Of Freedom ◽  
Analysis And Design ◽  
Mems Switch ◽  
Single Degree ◽  
System A

The probabilistic analysis and design of a MEMS switch during atmospheric re-entry is discussed. The switch is modeled as a classical vibro-impact system: a single degree-of-freedom oscillator subject to impact with a single rigid barrier. The excitation is assumed stationary, Gaussian, with prescribed PSD to represent the re-entry environment. A subset of the model parameters are described as random variables to represent the significant unit-to-unit variability observed during fabrication and testing of the device. The metric of performance is the amount of time the switch remains closed during the re-entry event.

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