Nonlinear dynamics by mode superposition
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Publication:1221665
DOI10.1016/0045-7825(76)90008-6zbMath0316.73068OpenAlexW2003441500MaRDI QIDQ1221665
Publication date: 1976
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(76)90008-6
Thin bodies, structures (74K99) Nonlinear dynamics in mechanics (70K99) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to mechanics of deformable solids (74-00)
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Cites Work
- Unnamed Item
- Unnamed Item
- Two dimensional wave propagation through nonlinear media
- A finite element formulation for problems of large strain and large displacement
- The super-variational technique revisited
- On the stability of approximation operators in problems of structural dynamics
- Simultaneous iteration method for symmetric matrices
- Non-linear oscillations using the finite element technique
- $Ax = \lambda Bx$ and the Generalized Eigenproblem
- Dynamic response of a cylindrical shell - Two numerical methods.
- A proof of the stability of the Houbolt method.
- Causes of instabilities in numerial integration techniques
- Eigenvalues of Ax = Bx with band symmetric A and B
- The evaluation of eigenvalues and eigenvectors of real symmetric matrices by simultaneous iteration
- Nonlinear dynamic analysis of shells of revolution by matrix displacement method
- Comparison of two numerical methods for the time-wise integration oftransient structural response
- On a direct‐iterative eigensolution technique
- Solution of eigenvalue problems by sturm sequence method