Kinetic & Strain Energy Formulas

Kinetic & strain energy formulas can be used as a basis for Rayleigh-Ritz or finite element analysis of vibrating structures.

Equations for common structures and loading conditions are given in strain_energy.pdf

The cases include:

Uniform Bar under a Constant Axial Load
Bar under a General Axial Load
Beam in Bending
Circular Rod in Torsion
Beam or Rod in Shear
Rectangular Plate in Bending
Rectangular Plate in Bending & Shear, Stress-Strain Formulation
Circular Plate in Bending
Rectangular Plate, In-plane Displacement
Axial Spring
Ring, In-Plane, Extensional Displacement

See also: Continuum Mechanics

– Tom Irvine

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