Abstract: The generalized-α scheme has become the approach of choice for the time integration of the equations of motion of multibody systems. Despite its simplicity, this scheme presents drawbacks: the time-step size cannot be ...

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 ...

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 ...

Abstract: This paper describes a finite element approach to the analysis of flexible multibody systems. It is based on the motion formalism that (1) uses configuration and motion to describe the kinematics of flexible multibody ...

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 ...

Abstract: The gradient-based design optimization of mechanical systems requires robust and efficient sensitivity analysis tools. The adjoint method is regarded as the most efficient semi-analytical method to evaluate sensitivity ...

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 ...

Abstract: This paper presents two approaches to the stability analysis of flexible dynamical systems in the time domain. The first is based on the partial Floquet theory and proceeds in three steps. A preprocessing step evaluates ...