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A Study on Free Vibration Behavior of Microbeam Under Large Static Deflection Using Modified Couple Stress Theory

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Publication:5119757
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DOI10.1007/978-981-15-0772-4_14zbMath1452.74047OpenAlexW3012791237MaRDI QIDQ5119757

Sujash Bhattacharya, Debabrata Das

Publication date: 1 September 2020

Published in: Lecture Notes in Mechanical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-0772-4_14


zbMATH Keywords

Timoshenko beamgeometric nonlinearityRitz methodminimal potential energy


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Numerical and other methods in solid mechanics (74S99) Energy minimization in dynamical problems in solid mechanics (74H80)




Cites Work

  • Microstructure-dependent couple stress theories of functionally graded beams
  • The size-dependent natural frequency of Bernoulli-Euler micro-beams
  • A nonlinear Timoshenko beam formulation based on the modified couple stress theory
  • A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
  • Experiments and theory in strain gradient elasticity.
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