Geometrically nonlinear elasto-plastic analysis of clustered tensegrity based on the co-rotational approach

Zhang, Lunxiang; Lü, Mengkai; Zhang, H.W.; Yan, Bo

doi:10.1016/j.ijmecsci.2015.01.015

Cited by 52 publications

(11 citation statements)

References 33 publications

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“…Bel Hadj Ali et al [9] presented a modified dynamic relaxation approach to take into account cable sliding effects in analyzing the deployment performance of clustered tensegrities. Zhang et al [10,11] employed a co-rotational formulation for modeling sliding cables in geometric nonlinear analysis of clustered tensegrities. Previous studies of clustered tensegrities are all conducted from a static point of view.…”

Section: Introductionmentioning

confidence: 99%

A simple linear complementarity approach for sliding cable modeling considering friction

Kan

Peng

Chen

2019

Mechanical Systems and Signal Processing

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Section: Introductionmentioning

confidence: 99%

A simple linear complementarity approach for sliding cable modeling considering friction

Kan

Peng

Chen

2019

Mechanical Systems and Signal Processing

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“…We study their linear wave properties using dispersion analysis and show how these properties can be significantly altered by varying the cable prestrain. We model the bars as elastic or deformable systems in a geometrically nonlinear elasticity framework in contrast to prior investigations [21,22,23,24] that treat the bars and cables as perfectly rigid or implicitly assume that cables (bars) only experience tension (compression). As the prestrain is varied, we observe jumps in wavespeeds at two critical prestrain values and draw parallels with phase transitions in condensed matter systems.…”

Section: Introductionmentioning

confidence: 99%

Tunable wave propagation by varying prestrain in tensegrity-based periodic media

Pal

Ruzzene

Rimoli

2018

Extreme Mechanics Letters

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This paper investigates the dynamic properties of one, two and three-dimensional tensegrity-based periodic structures introduced in [1], which are here termed as tensegrity beams, plates and solids, respectively. We study their linear wave propagation properties and show that in each case, these properties can be significantly altered by the prestrain in the cables. As the prestrain is varied, we observe jumps in the wave velocities at two critical prestrain values, which define transitions between the three distinct phases of these structural assemblies. At low cable prestrains, the wave speeds are zero as the lattices have zero effective stiffness. At moderate prestrains, the wave speed is nonzero and finally, at prestrain levels where the bars buckle, the wave speed decreases to a lower value. Dispersion analysis on these beams, plates and solids reveal unique properties such as very low wave velocities compared to their constituent material and the existence of flat bands at low frequencies. Furthermore, we find that shear waves travel faster than longitudinal waves in tensegrity solids in a range of cable prestrains. Finally, we verify the key observations through detailed numerical simulations on finite tensegrity solids.

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“…And the Newton‐Raphson method, which is known as the typical nonlinear method, has been proved efficient in solving nonlinear problems of tensegrity structures, especially in the region of elasto‐plastic analysis. () However, it is well known that nonlinear finite element methods, in general, are built on numerical iterations. Such kind of operations may be applicable in static analysis, while massive computational cost is needed when solving structural dynamic problems.…”

Section: Introductionmentioning

confidence: 99%

“…Bel Hadj Ali et al proposed an updated dynamic relaxation method to simulate the static response of a clustered tensegrity beam and quasi‐static deployment of a clustered tensegrity tower. Zhang et al introduced an efficient finite element formulation for geometrical nonlinear elasto‐plastic analysis of clustered tensegrities based on the co‐rotational approach. To the best of our knowledge, numerical analyses of clustered tensegrities are all limited to static and/or dynamic regions, however, investigation on vibration control of clustered tensgrities was rarely seen, especially the comparison of control efficiency regarding different control methods and different actuator placements.…”

Section: Introductionmentioning

confidence: 99%

Energy-based comparative analysis of optimal active control schemes for clustered tensegrity structures

Feng

Miah

2018

Struct Control Health Monit

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This study performs a series of numerical investigations of a novel energy-based control approach for effective vibration control of clustered tensegrity structures via different optimal active control algorithms. The comparative study among different control algorithms of clustered tensegrities are often challenging due to the geometrical non-linearity, complex loading conditions and assemblage uncertainties of structural components. In order to overcome these technical difficulties, an actuator input energy-based method is herein implemented to assess the optimal dynamic performances of clustered tensegrity structures via distinct optimal active control schemes. As a quantification tool, the structural displacement and elemental forces monitored from both the whole structure level and the elemental level were applied to assess control efficiency based on the same amount of actuator energy input. Specifically, the control efficiency comparisons are realized by setting identical energy input to actuated elements via linear-quadratic-Gaussian (LQG) and  ∞ algorithms. Different actuator placements of clustered cables and struts are considered and the control efficiency coefficients of the proposed method are examined through a spatial clustered tensegrity beam. The outcomes from the illustrative example indicate that the proposed method is efficient and reliable in comparative analyzing of different optimal active control schemes for clustered tensegrity structures, which implies the prospect of the investigated approach in analyzing and solving actual engineering problems. KEYWORDS active control algorithms, actuator placements, clustered tensegrity structures, control efficiency, energy-based control Struct Control Health Monit. 2018;25:e2215.wileyonlinelibrary.com/journal/stc

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Geometrically nonlinear elasto-plastic analysis of clustered tensegrity based on the co-rotational approach

Cited by 52 publications

References 33 publications

A simple linear complementarity approach for sliding cable modeling considering friction

A simple linear complementarity approach for sliding cable modeling considering friction

Tunable wave propagation by varying prestrain in tensegrity-based periodic media

Energy-based comparative analysis of optimal active control schemes for clustered tensegrity structures

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