Vibration control of a membrane antenna structure using cable actuators

Abstract This paper presents a control strategy of using cable actuators to control the vibration of a membrane antenna structure. The tension cables of the membrane antenna structure are used as actuators, the vibration of the structure can be suppressed by controlling the tension force in the cable actuators. First, the antenna structure with cable actuators is discretized by the finite element method (FEM), and governing equation of the whole structure is established. Then, a controller is designed based on the Lyapunov's stability theory, and the mechanism of this controller is studied through a simple single-degree-of-freedom (SDOF) system. The optimal placement of the cable actuators is also studied numerically in this paper. Simulation results indicate that vibration of the membrane antenna structure can be suppressed effectively by the cable actuators, and optimally placed cable actuators can produce better control effect with smaller control input.

[1]  Dale Beasley,et al.  Large Area Membrane Apertures for Space Applications, Fabrication and Mechanical Testing , 2017 .

[2]  R. E. Freeland,et al.  Large Inflatable Deployable Antenna Flight Experiment Results , 1997 .

[3]  Wanping Zheng,et al.  Dynamic and Vibration Analysis of a SAR Membrane Antenna , 2007 .

[4]  Hiraku Sakamoto,et al.  Distributed Localized Vibration Control of Membrane Structures Using Piezoelectric Actuators , 2005 .

[5]  Yoshisada Murotsu,et al.  Low-authority control of large space structures by using a tendon control system , 1989 .

[6]  Qingshan Yang,et al.  Stochastic and sensitivity analysis of shape error of inflatable antenna reflectors , 2017 .

[7]  Elmar Breitbach,et al.  Structural engineering on deployable CFRP booms for a solar propelled sailcraft , 2006 .

[8]  Steven W. Shaw,et al.  Vibration Suppression in Structures Using Cable Actuators , 2010 .

[9]  Yan Xu,et al.  Structure design and mechanical measurement of inflatable antenna , 2012 .

[10]  Steven W. Shaw,et al.  Control of Space Structures Using Cable Actuators , 2008 .

[11]  Hartmut Runge,et al.  Large SAR Membrane Antennas with Lightweight Deployable Booms , 2005 .

[12]  Steven W. Shaw,et al.  Active Vibration Control of a Flexible Beam Using a Buckling-Type End Force , 2006 .

[13]  Hiroshi Okubo,et al.  Tendon Control System for Active Shape Control of Flexible Space Structures , 1996 .

[14]  Dong Xu Li,et al.  Nonlinear Vibration Analysis of Membrane SAR Antenna Structure Adopting a Vector Form Intrinsic Finite Element , 2015 .

[15]  M. Salama,et al.  Intelligent gossamer structures - A review of recent developments and future trends , 2001 .

[16]  Hiraku Sakamoto,et al.  Distributed and Localized Active Vibration Isolation in Membrane Structures , 2006 .

[17]  John Huang,et al.  Dynamic Analysis of Large In-Space Deployable Membrane Antennas , 2006 .

[18]  Fujun Peng,et al.  Dynamic model and active vibration control of a membrane antenna structure , 2018 .

[19]  André Preumont,et al.  Active tendon control of large trusses , 2000 .