Random vibrations with MACSYMA

DOI10.1016/0045-7825(87)90116-2zbMath0588.73157OpenAlexW1975260992MaRDI QIDQ1073638

Isaac Elishakoff, M. L. Rehak, Frank L. DiMaggio, Haym Benaroya

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90116-2

zbMATH Keywords

random coefficientsdeterministicFORTRAN codesingle degree of freedomapproximate analytical solutionsclosed-formcumulants of a distributiondifferential equation of order Nexternal colored noise random forceinfinite degree of freedom beamrandom parameter oscillatorspace-wise random loadingstationary random forcing functionsymbolic manipulation code MACSYMA

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Random vibrations in dynamical problems in solid mechanics (74H50) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items

Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters ⋮ Random vibration of uniform beams with varying boundary conditions by the dynamic-edge-effect method ⋮ Computer algebra in probability and statistics ⋮ Direct superposition of Wilson trial functions by computerized symbolic algebra ⋮ Application of computer algebra to the iterative solution of singular integral equations ⋮ Random vibration of structures by the finite element method

Uses Software

• MACSYMA

Cites Work

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• Response and Stability of a Random Differential Equation: Part I—Moment Equation Method