A review on developments of deployable membrane-based reflector antennas

Chandra, Mahesh; Kumar, Satish; Chattopadhyaya, Somnath; Chatterjee, Sayan; Kumar, Pradeep

doi:10.1016/j.asr.2021.06.051

Cited by 55 publications

(10 citation statements)

References 94 publications

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“…. Hypothetical tennis racket ball moment when the center of the net produces the maximum displacement 0 a under the action of the striking force P is zero [6]. At this point, we can write the initial condition of the nonlinear vibration of the net as:…”

Section: Direction X Ymentioning

confidence: 99%

The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation

Jia

2022

Applied Mathematics and Nonlinear Sciences

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In this paper, a nonlinear vibration differential equation is established for the moment when a tennis racket hits the ball. At the same time, we deduce the relationship between the tennis racket string tension and the separation time and distance of the hitting speed. Then the article analyzes the vibration equation of the tennis racket damping ball. We use ANSYS finite element analysis software for solid modeling and modal analysis of tennis rackets. The natural frequency of the tennis racket was obtained through the verification results of the experimental modal analysis. A qualitative relationship between the natural frequency of the vibration-absorbing ball system and some parameters was found.

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Section: Direction X Ymentioning

confidence: 99%

The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation

Jia

2022

Applied Mathematics and Nonlinear Sciences

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“…Thin elastic sheets are ubiquitous in nature and technology, such as lipid membranes, 1 plant leaves, 2 flexible electronics 3 and spacecraft deployable membrane antennas, 4 and so forth. However, thin sheets are hard to stretch but easy to bend due to the slenderness effect.…”

Section: Introductionmentioning

confidence: 99%

Stretch‐induced wrinkling analysis of thin sheets with splines

Tian

Chen

2023

Numerical Meth Engineering

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Numerical simulation of stretch-induced wrinkling in thin elastic sheets is a challenging problem due to a vanishing bending stiffness and the coexistence of superabundant equilibrium solutions. In this work, we present a computational framework to capture the morphological evolution of stretch-induced wrinkles. The application of modified Föppl-von Kármán plate model results in a fourth-order partial differential equation. The convergence of finite-element solutions necessitates C 1 -continuous approximations. Herein, Powell-Sabin B-splines, which are based on triangles, are utilized for both the approximation of the field variables and the description of the geometry. To trace the wrinkling behavior in thin sheets, a path-following technique using asymptotic numerical method is considered. The advantage of this method is an adaptive step length, which works incredibly well near the bifurcation points and allows for the computation of the post-bifurcation diagrams with a quite small perturbation. The versatility and accuracy of the developed computational approach are assessed in three case studies, featuring wrinkling in highly stretched rectangular and annular thin sheets.

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“…Tensegrity structures have been widely used in aerospace (Chandra et al ., 2021; Furuya, 1992; Mills et al. , 2020), robotics (Shah et al.…”

Section: Introductionmentioning

confidence: 99%

“…Tensegrity structures have been widely used in aerospace (Chandra et al, 2021;Furuya, 1992;Mills et al, 2020), robotics (Shah et al, 2022;Chen and Jiang, 2019), architecture (G omez J auregui, 2020), and other fields, because of their advantages of simple structure, light weight, low energy consumption, and deployable (Luo et al, 2017;Chen et al, 2021). The study of the structure minimum mass can guide the design of the safety factor and save material resources.…”

Section: Introductionmentioning

confidence: 99%

Minimal mass of prismatic tensegrity structures

Cao

Luo

Feng

et al. 2023

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PurposeThis paper is contributed to find the minimal mass prismatic tensegrity structures.Design/methodology/approachIn the stable state of the structure with any given external force, the internal forces of the structure members are taken as the critical force to calculate the cross-sectional area, and the total mass of the structure can be obtained. Firstly, the mathematical model of prismatic tensegrity was built. Secondly, the stability of the tensegrity was analyzed based on the force equilibrium of one node, the force density relationship of elements was obtained. The deformation of p-bar tensegrity prism unit was studied with the same mass. The force of the structure under external force was analyzed.Findings(1) The length of bar and the structural radius are almost invariant, and the mechanical properties of 3-bar tensegrity prism is more outstanding; (2) theoretically, the mass of the structure is minimal while the projection of bar passes the center of the circle. Under the circumstances, the force of diagonal cable is 0 N, the vertical force component of bar cancels the axial external force.Originality/value(1) By analyzing the deformation of p-bar tensegrity prism with the same mass, the length of bar and the structural radius are proved be almost invariant and the mechanical properties of 3-bar tensegrity prism is more outstanding; (2) theoretically, the mass of the structure is minimal while the projection of bar passes the center of the circle. Under the circumstances, the force of diagonal cable is 0 N, the vertical force component of bar cancels the axial external force.

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A review on developments of deployable membrane-based reflector antennas

Cited by 55 publications

References 94 publications

The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation

The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation

Stretch‐induced wrinkling analysis of thin sheets with splines

Minimal mass of prismatic tensegrity structures

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