Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. I: Methods

DOI10.1016/S0022-247X(02)00355-4zbMath1018.74039MaRDI QIDQ1856917

Yanyan Li

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

free vibrationseigensolutionsbeamsseparation of variablesfrequency domain methodhomotopy methodsFourier decompositionelastic framesnonlinear matrix eigenvalue problemsclamping

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items

Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. II: Properties and supplements

Cites Work

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• Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method
• Singularities and groups in bifurcation theory. Volume I
• Bounds for eigenvalues of second-order elliptic differential operators
• Modeling, analysis and control of dynamic elastic multi-link structures
• On the simulation of vibrations of industrial gear drives (Complex interactions of physics, mathematics, numerics, and experiments)
• Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. II: Properties and supplements
• Stress waves in anelastic solids
• Approximate Solutions of Transport Problems. II. Convergence and Applications of the Discrete Ordinate Method