Efficient inverse frequency design of tapered beams including shear deformations

DOI10.1016/S0045-7825(99)00041-9zbMath0979.74025MaRDI QIDQ1976171

Izuru Takewaki

Publication date: 21 February 2002

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

zbMATH Keywords

shear deformationfinite element methodtapered beamconvergence conditionbending modelbending stiffness distributionbending-shear modelcubic displacement functioninverse eigenvibration problemlowest-mode curvature distributionone-dimensional distributed-parameter structureshear stiffness distributionspecified fundamental natural frequency

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (3)

Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

Cites Work

• Unnamed Item
• Inverse problem for a vibrating beam
• Efficient redesign of damped structural systems for target transfer functions
• Incremental inverse eigenmode problem for performance-based structural redesign
• Finite element formulation of a tapered Timoshenko beam for free lateral vibration analysis
• On the optimal design of a vibrating beam

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