Nonlinear dynamic analysis near resonance of a beam-ring structure for modeling circular truss antenna under time-dependent thermal excitation

Zhang, Wanlong; Wu, Ruiqin; Behdinan, Kamran

doi:10.1016/j.ast.2019.01.018

Cited by 40 publications

(13 citation statements)

References 39 publications

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“…On substituting Equations ( 38) and (34) into Equation ( 35), the electrical field change caused by the antenna's deformation will be obtained. To be noted, due to its complexity, Equation (35) can be numerically achieved by quadrature methods.…”

Section: Radiation Pattern Of the Deformed Antennamentioning

confidence: 99%

“…Fan et al [33] studied the influences of wrinkle distortion caused by tension cables on the electromagnetic performance of an active membrane phased-array antenna in P-band. Other studies can also provide useful references, such as studies on non-linear dynamics under thermal excitations [34,35], the structure-electronic synthesis design [36], the deployment analysis of antennas [37], and multiphysical coupling effects in other regions [38][39][40].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical and numerical studies on multi‐physical issues of space parabolic membrane antennas

Liu

et al. 2021

IET Microwaves Antenna & Prop

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Front-fed parabolic reflectors are among the most commonly used antennas in the industry. While in spaceborne applications, membrane reflectors are very promising due to their lightweight and foldable features. However, considering the large size, small thickness and low stiffness, solar radiation and microwave radiation will have considerable influences on the antennas' shape accuracy as well as the radiation characteristics. In this article, a theoretical approach is presented to solve the multi-physical effects of the parabolic antenna. The deformation of the reflector is derived by the shallow shell theory, taking into account the solar pressure, the microwave pressure and the thermal effects due to solar and microwave heating. The far-field electromagnetic radiation pattern is then obtained by considering the deformation of the reflector. On the other hand, a numerical approach combining the finite element method, the multi-level fast multipole method, and the large element physical optics is also presented. Numerical examples suggest good agreement between the theoretical and numerical results. The methods have been applied into the analysis of design models in the Space Solar Power Station project. Also, these approaches can be directly extended into other space membrane reflector antennas.This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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Section: Radiation Pattern Of the Deformed Antennamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theoretical and numerical studies on multi‐physical issues of space parabolic membrane antennas

Liu

et al. 2021

IET Microwaves Antenna & Prop

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“…Curved beams are integral components widely used in aerospace, mechanical, and civil engineering structures such as circular truss antenna. Therefore, their thermomechanical analysis has always been of interest to engineers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Structural responses of curved beams strongly depend on their curvatures, particularly for open curved beams.…”

Section: Introductionmentioning

confidence: 99%

“…With the further improvement in the work requirements, the truss antenna is designed to be foldable and deployable structures with the large apertures and the components are flexible. Since most of the components in the truss antenna system are lightweight and have high-flexibility structures, the system may have the low stiffness and the large deformations under any external excitation such as thermal loading which can adversely impact its performance and reliability [1]. Furthermore, a beam is a structural element that has been studied for many years and widely used in various engineering fields across the length scale.…”

Section: Introductionmentioning

confidence: 99%

Large deformation behavior of functionally graded porous curved beams in thermal environment

et al. 2021

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The in-plane thermoelastic response of curved beams made of porous materials with different types of functionally graded (FG) porosity is studied in this research contribution. Nonlinear governing equations are derived based on the first-order shear deformation theory along with the nonlinear Green strains. The nonlinear governing equations are solved by the aid of the Rayleigh–Ritz method along with the Newton–Raphson method. The modified rule-of-mixture is employed to derive the material properties of imperfect FG porous curved beams. Comprehensive parametric studies are conducted to explore the effects of volume fraction and various dispersion patterns of porosities, temperature field, and arch geometry as well as boundary conditions on the nonlinear equilibrium path and stability behavior of the FG porous curved beams. Results reveal that dispersion and volume fraction of porosities have a significant effect on the thermal stability path, maximum stress, and bending moment at the crown of the curved beams. Moreover, the influence of porosity dispersion and structural geometry on the central radial and in-plane displacement of the curved beams is evaluated. Results show that various boundary conditions make a considerable difference in the central radial displacements of the curved beams with the same porosity dispersion. Due to the absence of similar results in the specialized literature, this paper is likely to provide pertinent results that are instrumental toward a reliable design of FG porous curved beams in thermal environment.

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“…Wu et al (2018) also observed chaotic dynamics with multi-pulse for a circular mesh antenna. Moreover, Zhang et al (2019a) investigated the nonlinear vibrant actions of beam–ring circular truss antenna under the intermittent excitation. In addition, Liu et al (2018) controlled the vibration of a layer receiving wire structure through semi-dynamic vibration control by means of link actuators.…”

Section: Introductionmentioning

confidence: 99%

A beam–ring circular truss antenna restrained by means of the negative speed feedback procedure

EL-Sayed

Bauomy

2021

Journal of Vibration and Control

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The present article contemplates the nonlinear powerful exhibitions of affecting dynamic vibration controller over a beam–ring structure for demonstrating the circular truss antenna exposed to mixed excitations. The dynamic controller comprises the included negative speed input added to the framework’s idea. By using the statue, Hamilton, the nonlinear fractional differential administering conditions of movement and the limit conditions have inferred for the shaft ring structure. Through Galerkin’s method, the nonlinear partial differential equations referred to overseeing the movement of the shaft ring structure have diminished to a coupled normal differential equations extending the nonlinearities square terms. Multiple time scales have helped in acquiring (getting) the four-dimensional averaged equations for measuring the primary and 1:2 internal resonances. This article’s controlled assessment is useful for controlling the nonlinear vibrations of the considered framework. Likewise, the controller dispenses with the framework’s oscillations in a brief time frame. The demonstrations of the numerous coefficients and the framework directed at the examined resonance case have been determined. Using MATLAB 7.0 programs has aided in completing the simulation results. At last, the numerical outcomes displayed an admirable concurrence with the methodical ones. A comparison with recently available articles has also indicated good results through using the presented controller.

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Nonlinear dynamic analysis near resonance of a beam-ring structure for modeling circular truss antenna under time-dependent thermal excitation

Cited by 40 publications

References 39 publications

Theoretical and numerical studies on multi‐physical issues of space parabolic membrane antennas

Theoretical and numerical studies on multi‐physical issues of space parabolic membrane antennas

Large deformation behavior of functionally graded porous curved beams in thermal environment

A beam–ring circular truss antenna restrained by means of the negative speed feedback procedure

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