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On the Analysis of Periodically Heterogenous Beams
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Based on the symplectic transfermatrix method, this paper develops a novel approach for the analysis of beams presenting periodic heterogeneities along their span. The approach, rooted in the Hamiltonian formalism, generalizes ...
On Saint Venant's Problem for Helicoidal Beams
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper proposes a novel solution strategy for SaintVenant's problem based on Hamilton's formalism. SaintVenant's problem focuses on helicoidal beams and its solution hinges upon the determination of the subspace of the ...
Three Dimensional Beam Theory for Flexible Multibody Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In multibody systems, it is common practice to approximate flexible components as beams or shells. More often than not, classical beam theories, such as the Euler–Bernoulli beam theory, form the basis of the analytical ...
Discontinuous Galerkin Method and Dual-SLERP for Time Integration of Flexible Multibody Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A novel time-discontinuous Galerkin (DG) method is introduced for the time integration of the differential-algebraic equations governing the dynamic response of flexible multibody systems. In contrast to traditional Galerkin ...
Erratum: “On the Analysis of Periodically Heterogenous Beams” [ASME J. Appl. Mech., 2016, 83(9), p. 091001; DOI: 10.1115/1.4033721]
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This erratum corrects errors in the originally published paper.The equations listed in the original manuscript have been found to include several typographical errors that make it impossible to understand the proofs presented ...