Kinematics and dynamics of deployable structures with scissor-like-elements based on screw theory

Sun, Yuan; Wang, Sanmin; Mills, James K.; Zhi, Changjian

doi:10.3901/cjme.2014.0519.098

Cited by 24 publications

(8 citation statements)

References 11 publications

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“…Other researches about this mechanism were done by researchers from different countries, each of them trying to improve it. [4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

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Kinetostatic analysis of a scissor jack mechanism powered by a tetrad RRR-Ta-RRR

et al. 2020

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In a paper previously published by the authors, kinematic analysis of a jack mechanism driven by a motor tetrad was done. For the actual design of the mechanism, the forces and moments acting on the kinematic elements that are part of it must be determined. Also, the driving force in the hydraulic cylinder must be determined, so that the mechanism works in good conditions, for a certain technological task imposed by the design theme. The present paper makes the kinetostatic analysis of the mechanism studied, from the kinematic point of view. Therefore, the reactions in the kinematic couplings of the mechanism, as well as the driving force of the hydraulic cylinder, are determined. In order to determine the reactions of the kinematic couplings, as well as the driving force of the hydraulic cylinder, the masses of the elements, the moments of mechanical inertia, as well as the load force acting on the jack were considered. The results of the calculations were graphically represented, in reaction patterns. In order to verify the correctness of the calculations, the balance force (the hydraulic cylinder motor force) was determined by both the kinetic and the virtual power method, and the results are the same.

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“…Other researches about this mechanism were done by researchers from different countries, each of them trying to improve it. [4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…The motor tetrad RRR-Ta-RRR(1,2,3,4,5). The kinetostatic diagram of the motor tetrad RRR-Ta-RRR(1,2,3,4,5)…”

mentioning

confidence: 99%

Kinetostatic analysis of a scissor jack mechanism powered by a tetrad RRR-Ta-RRR

et al. 2020

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“…For example, Wei et al analyzed mobility and geometric characteristics of the Hoberman switchpitch ball [9]. Sun et al studied the kinematics, dynamics, and mobility of the deployable scissor structures using the modified screw theory [10,11]. Tanaka et al developed a two-dimensional 8-bar jointed structure and analyzed its dynamic characteristics [12].…”

Section: Introductionmentioning

confidence: 99%

A Computational Method for Dynamic Analysis of Deployable Structures

Wang

Sun

2020

Shock and Vibration

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A computational method is developed to study the dynamics of lightweight deployable structures during the motion process without regard to damping. Theory and implementation strategy of the developed method are given in this study. As a case study, the motion process of a bar-joint structure and a ring array scissor-type structure was simulated under external dynamic loading. In order to verify the effectiveness of the method, the simulation results are compared with the results predicted by the authenticated multibody system dynamics and simulation program. It shows that the method is effective to dynamic analysis of deployable structures no matter the structures are rigid or elastic. Displacement, velocity, and acceleration for the entire deployable structures during the motion process can be computed, as well as strain if the deployable structure is elastic.

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“…As they are used in aerospace engineering field, the space industry is eager for the prediction of the dynamics features of the deployment process of deployable structures with SLEs. Therefore, Sun [11] proposed a simple way based on the screw theory to study the rigid body dynamics of a spatial deployable structure with SLEs. Li [12] researched dynamic characteristics of the deployment process of a planar deployable structure constituted by SLEs with joint clearance.…”

Section: Introductionmentioning

confidence: 99%

A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

Qian

Wang

Zhi

et al. 2019

Chin. J. Mech. Eng.

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There are vast constraint equations in conventional dynamics analysis of deployable structures, which lead to differential-algebraic equations (DAEs) solved hard. To reduce the difficulty of solving and the amount of equations, a new flexible multibody dynamics analysis methodology of deployable structures with scissor-like elements (SLEs) is presented. Firstly, a precise model of a flexible bar of SLE is established by the higher order shear deformable beam element based on the absolute nodal coordinate formulation (ANCF), and the master/slave freedom method is used to obtain the dynamics equations of SLEs without constraint equations. Secondly, according to features of deployable structures, the specification matrix method (SMM) is proposed to eliminate the constraint equations among SLEs in the frame of ANCF. With this method, the inner and the boundary nodal coordinates of element characteristic matrices can be separated simply and efficiently, especially on condition that there are vast nodal coordinates. So the element characteristic matrices can be added end to end circularly. Thus, the dynamic model of deployable structure reduces dimension and can be assembled without any constraint equation. Next, a new iteration procedure for the generalized-α algorithm is presented to solve the ordinary differential equations (ODEs) of deployable structure. Finally, the proposed methodology is used to analyze the flexible multi-body dynamics of a planar linear array deployable structure based on three scissor-like elements. The simulation results show that flexibility has a significant influence on the deployment motion of the deployable structure. The proposed methodology indeed reduce the difficulty of solving and the amount of equations by eliminating redundant degrees of freedom and the constraint equations in scissor-like elements and among scissor-like elements.

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Kinematics and dynamics of deployable structures with scissor-like-elements based on screw theory

Cited by 24 publications

References 11 publications

Kinetostatic analysis of a scissor jack mechanism powered by a tetrad RRR-Ta-RRR

Kinetostatic analysis of a scissor jack mechanism powered by a tetrad RRR-Ta-RRR

A Computational Method for Dynamic Analysis of Deployable Structures

A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

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