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New Nonlinear First-Order Shear Deformation Beam Model Based on Geometrically Exact Theory
In this paper, a new geometrically exact model of a first-order shear deformation beam is developed. By use of the derived equations, free vibration...
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New Formula of Geometrically Exact Shell Element Undergoing Large Deformation and Finite Rotation
The paper develops a new geometrically exact shell element that allows large deformation and finite rotation. The new element is based on the...
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On an objective, geometrically exact coupling element for a director-based multi-body finite element framework
In multi-body systems, flexible components and couplings between them can be subject to large displacements and rotations. This contribution presents...
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A quaternion-based mathematical model for geometrically exact dynamic analysis of cantilevered pipe conveying fluid
For the first time, the development of the nonlinear geometrically exact governing equations and corresponding boundary conditions of hanging...
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A numerical scheme for geometrically exact flexoelectric microbeams using the weak form quadrature element method
In this article, a geometrically exact flexoelectric beam model and its weak form quadrature element formulation are established. The coupling of...
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Dynamics of slender beam based on geometrically exact Kirchhoff beam theory formulated on SO(3) group
A geometrically exact Kirchhoff beam formulation (GEKBF) established on the Lie group SO(3) for simulating the dynamics of a slender beam is...
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Electromechanical coupling analysis of geometrically exact functionally graded piezoelectric shells based on weak form quadrature element method
In this study, a numerical model for electro-mechanical coupling analysis of geometrically nonlinear functionally graded piezoelectric shell is...
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Primary Resonance of Nonlinear Spinning Timoshenko Shaft Based on a Novel Third-order Approximation Model Derived from Geometrically Exact Nonlinear Model
In this paper, a set of generalized nonlinear equations of motion for spinning Timoshenko shafts is derived using the concept of a geometrically...
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Two-scale off-and online approaches to geometrically exact elastoplastic rods
This work compares two different computational approaches to geometrically exact elastoplastic rods. The first approach applies an elastoplastic...
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Nonlinear dynamics of three-dimensional curved geometrically exact beams by a quadrature element formulation
Nonlinear dynamic analyses of three-dimensional (3D) curved geometrically exact beams were carried out using a quadrature element (QEM) formulation....
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Two-field formulation of the inertial forces of a geometrically-exact beam element
An independent velocity field is introduced via Legendre transformation of the kinetic energy of a geometrically-exact beam, leading to a first-order...
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Exact Solution of a Geometrically Nonlinear Problem for a Shear-Compliant Oval Cylindrical Shell*
A geometrically nonlinear problem for a shear-compliant long oval cylindrical shell undergoing uniform surface loading is stated and solved...
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Quaternion-based finite-element computation of nonlinear modes and frequency responses of geometrically exact beam structures in three dimensions
In this paper, a novel method for computing the nonlinear dynamics of highly flexible slender structures in three dimensions (3D) is proposed. It is...
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Geometrically Exact Finite Element Formulation for Tendon-Driven Continuum Robots
Tendon-driven continuum robots achieve continuous deformations through the contraction of tendons embedded inside the robotic arms. For some...
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A finite volume adaptation of beam-to-beam contact interactions implemented for geometrically exact Simo–Reissner beams
This paper presents an adaption of the finite-element based beam-to-beam contact interactions into a finite volume numerical framework. A previous...
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Discrete adjoint method for variational integration of constrained ODEs and its application to optimal control of geometrically exact beam dynamics
Direct methods for the simulation of optimal control problems apply a specific discretization to the dynamics of the problem, and the discrete...
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Experimentally validated geometrically exact model for extreme nonlinear motions of cantilevers
A unique feature of flexible cantilevered beams, which is used in a range of applications from energy harvesting to bio-inspired actuation, is their...
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Explicit topology optimization of three-dimensional geometrically nonlinear structures
In this work, a three-dimensional explicit geometrically nonlinear topology optimization method is developed. Moving morphable voids (MMVs) are used...
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A new formulation and free vibration analysis of a nonlinear geometrically exact spinning Timoshenko beam
In this paper, a set of generalized nonlinear equations of motion for Timoshenko spinning beams (shafts) is derived by using the concept of...
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Higher Order Geometrically Exact Shear-Rigid Beam Finite Elements
This work presents a polynomial refinement for our geometrically exact shear-rigid rod model presented in [1]. The objective is to compare different...