Nonlinear Structure of Co-rotational and Intrinsic Beam Theories from a Variational Projection Perspective

Jun-Sik Kim

doi:10.7734/coseik.2026.39.4.219

August 31, 2026Journal of the Computational Structural Engineering Institute of KoreaOpen Access

Nonlinear Structure of Co-rotational and Intrinsic Beam Theories from a Variational Projection Perspective

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Key Points

To analyze and unify the nonlinear mathematical structures of co-rotational and intrinsic beam theories using a variational projection framework.
Formulated large-displacement beam kinematics within a variational projection setting.
Compared geometric transformation tensors and strain-displacement relationships between co-rotational and intrinsic formulations.
Demonstrated mathematical equivalence between co-rotational motion descriptions and intrinsic strain formulations under continuous variational projection.
Identified coordinate transformation mechanisms that eliminate singularity issues associated with finite rotation parameterizations in large deformation analyses.

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Implication

Theoretical modeling demonstrates nonlinear kinematic relationships in flexible beam formulations, suggesting unified variational frameworks for advanced structural analysis.

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Jun-Sik Kim (2026) studied this question.

synapsesocial.com/papers/6a9935d8636c6408cfa7e69d https://doi.org/10.7734/coseik.2026.39.4.219

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Nonlinear Structure of Co-rotational and Intrinsic Beam Theories from a Variational Projection Perspective

Key Points

No abstract yet

Implication

Discussion

Cite This Study

Nonlinear Structure of Co-rotational and Intrinsic Beam Theories from a Variational Projection Perspective

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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