Journal ArticleDOI
Non-linear dynamic analysis of tensegrity structures using a co-rotational method
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TLDR
In this paper, a new co-rotational formulation is proposed based on the direct derivation of the inertia force vector and the tangent dynamic matrix, which is applicable to tense-grity structures with non-linear effects due to internal mechanisms or geometric nonlinearities.Abstract:
A new formulation is presented for the non-linear dynamic analysis of space truss structures. The formulation is based on the dynamics of 3D co-rotational rods. In the co-rotation method, the rigid body modes are assumed to be separated from the total deformations at the local element level. In this paper a new co-rotational formulation is proposed based on the direct derivation of the inertia force vector and the tangent dynamic matrix. A closed-form equation is derived for the calculation of the inertia force, the tangent dynamic matrix, the mass matrix and the gyroscopic matrix. The new formulation is used to perform dynamic analysis of example tensegrity structures. The developed formulation is applicable to tensegrity structures with non-linear effects due to internal mechanisms or geometric non-linearities, and is applied to two numerical examples. The efficiency of the proposed approach is compared to the conventional Lagrangian method, and savings in computation of about 55%, 54% and 37% were achieved.read more
Citations
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Journal ArticleDOI
Nonlinear dynamic and deployment analysis of clustered tensegrity structures using a positional formulation FEM
TL;DR: The proposed method provides an effective tool to capture the dynamic properties, such as the determination of an appropriate actuation speed, and to actuate the clustered tensegrity.
Journal ArticleDOI
A sliding cable element of multibody dynamics with application to nonlinear dynamic deployment analysis of clustered tensegrity
TL;DR: In this article, a sliding cable element for multibody system analysis is presented, which uses the configuration of the attached rigid bodies as the generalized coordinates, rather than the traditional nodal displacements.
Journal ArticleDOI
Design and impact response of 3D-printable tensegrity-inspired structures
TL;DR: In this article, a 3D-printable, single material structure with buckling struts is presented, which has comparable strain energy capacity and compressive response as a pin-jointed tense-grity unit cell.
Journal ArticleDOI
The optimal initial self-stress design for tensegrity grid structures
TL;DR: In this article, an efficient procedure is presented for optimal initial self-stress design of tensegrity grid structures by consecutively solving two linear homogeneous systems in conjunction with a minimization problem.
Journal ArticleDOI
Tensegrity system dynamics based on finite element method
TL;DR: In this article , a finite element analysis approach to nonlinear and linearized tensegrity dynamics based on the Lagrangian method with nodal coordinate vectors as the generalized coordinates is presented.
References
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BookDOI
Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Book
Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as discussed by the authors present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Journal ArticleDOI
Form Finding and Analysis of Tension Structures by Dynamic Relaxation
TL;DR: In this article, numerical procedures based on the method of dynamic relaxation with kinetic damping are described for the form finding, analysis and fabrication patterning of wide-span cable nets and grid shells, uniform or variably prestressed fabric membranes and battened membrane roofs.
Journal ArticleDOI
A unified formulation of small-strain corotational finite elements: I. Theory
Carlos A. Felippa,Bjørn Haugen +1 more
TL;DR: A unified theoretical framework for the corotational (CR) formulation of finite elements in geometrically nonlinear structural analysis is presented in this paper, which permits the derivation of a set of CR variants through selective simplifications.
Book
Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics
TL;DR: In this article, the authors bring together concepts behind different branches of work on non-linear finite elements, such as plasticity, beams and rods in two-dimensional framework, shells; hyper-elasticity; rubber; kinematic hardening; yield criteria with volume effects; large rotations; three-dimensional beams and rod; and stability theory.