Abstract
Variational principles are established for the partially composite Timoshenko beam using the semi‐inverse method. The principles are derived directly from governing differential equations for bending and vibration of the beam considered. It is concluded that the semi‐inverse method is a powerful tool for searching for variational principles directly from the governing equations. Comparison between our results and the results reported in literature is given.
Keywords
Timoshenko beam theory
Vibration
Beam (structure)
Bending
Composite number
Inverse
Structural engineering
Variational method
Inverse problem
Differential (mechanical device)
Differential equation
Mathematical analysis
Mathematics
Engineering
Physics
Geometry
Acoustics
Algorithm
Subject Areas
Composite Structure Analysis and Optimization
·Mechanics of Materials ·Physical Sciences
Nonlocal and gradient elasticity in micro/nano structures
·Materials Chemistry ·Physical Sciences
Numerical methods in engineering
·Mechanics of Materials ·Physical Sciences
Citations by Year
2015: 1
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