Analysis of Vibration Eigenfrequencies of a Thin Plate by the Keller-Rubinow Wave Method I: Clamped Boundary Conditions with Rectangular or Circular Geometry
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Publication:3359842
DOI10.1137/0151048zbMath0733.73045OpenAlexW1973165230MaRDI QIDQ3359842
Matthew P. Coleman, Goong Chen, Jian Xin Zhou
Publication date: 1991
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1969.1/181679
Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Asymptotic distributions of eigenvalues in context of PDEs (35P20)
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Bounds for the \(N\) lowest eigenvalues of fourth-order boundary value problems ⋮ Accurate inverses for computing eigenvalues of extremely ill-conditioned matrices and differential operators ⋮ The equivalence between the wave propagation method and Bolotin's method in the asymptotic estimation of eigenfrequencies of a rectangular plate ⋮ An efficient direct solver for a class of mixed finite element problems ⋮ Analysis of vibration by the wave propagation method and Bolotin's method for a rectangular thin plate with at least one side roller-supported
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