Random vibrations with MACSYMA

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Computer Methods in Applied Mechanics and Engineering

Publication Status

Version of Record

Abstract

The symbolic manipulation code macsyma is applied in this paper to five problems in the field of random vibrations of mechanical systems. These include cumulants of a distribution, single degree of freedom deterministic and random parameter oscillator excited by an external colored noise random force, the infinite degree of freedom beam under space-wise random loading, and a differential equation of order N with random coefficients. In these cases, application of macsyma is shown to greatly extend the researcher's ability to derive closed-form or approximate analytical solutions. In more complicated problems such as the single degree of freedom system with stiffness treated as a stationary random forcing function, and subjected to random excitation, macsyma is applied to transform intermediate analytical results into a fortran code for subsequent numerical analysis. © 1987.

First Page

61

Last Page

70

DOI

10.1016/0045-7825(87)90116-2

Publication Date

1-1-1987

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