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DEFINITION OF BENDING STRAIN AND ROTARY INERTIA IN FINITE-STRAIN BEAM FORMULATIONS
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DOI：10.1016/j.jsv.2026.120016.png)
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Abstract
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• Develop beam formulation to accounts for axial/bending coupling and volume change. • Derive nonlinear rotary inertia and show its dependence on longitudinal stretch. • Develop Euler-Bernoulli finite element that captures geometric nonlinearities. • Examine strain quadratic-curvature term in case of large deformations.
Keywords:
Finite strains
Euler-Bernoulli beam theory
rotary inertia
zero shear
coupled bending-elongation displacements
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