The method of the reciprocal theorem of forced vibration for the elastic thin rectangular plates. I: Rectangular plates with four clamped edges and with three clamped edges

DOI10.1007/BF02019299zbMath0729.73761OpenAlexW2071818587MaRDI QIDQ806245

Nong Li, Bao-lian Fu

Publication date: 1989

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02019299

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (1)

Reciprocal theorem method for the forced vibration of elastic thick rectangular plates

Cites Work

• Application of the method of the reciprocal theorem to finding displacement solutions of cubes
• On the method of reciprocal theorem to find solutions of the plane problems of elasticity
• Application of reciprocal theorem for calculating the transverse displacement equations of the thin elastic circular plates
• On equivalence of the reciprocal theorem to superposition principles
• Application of the reciprocal theorem for calculating the natural frequencies of rectangular elastic thin plates
• Applications of the reciprocal theorem to solving the equations of the deflection surface of the rectangular plates with various edge conditions
• Dynamic response of a rectangular plate to a bending moment distributed along the diagonal
• Dynamic response of a diagonal line-loaded rectangular plate
• A new approach to the forced vibration of thin plates

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