剛-柔耦合的對稱天線結(jié)構(gòu)非線性主共振
發(fā)布時間：2018-03-23 12:04
本文選題：剛?cè)狁詈?/strong> 切入點：天線結(jié)構(gòu) 出處：《中國科學(xué):物理學(xué) 力學(xué) 天文學(xué)》2017年10期
【摘要】：本文研究了主共振激勵下空間天線的非線性動態(tài)響應(yīng).考慮機(jī)械臂與天線的耦合,提出了一種由兩級剛性臂與兩根各向同性柔性梁組成的T-型梁式結(jié)構(gòu).采用Lagrange方程和假設(shè)模態(tài)方法,建立了T-型剛?cè)狁詈咸炀�面內(nèi)四自由度非線性動力學(xué)方程.利用多尺度法獲得主共振三次近似解,得出系統(tǒng)主共振幅頻響應(yīng)解析方程.對系統(tǒng)幅頻響應(yīng)進(jìn)行分析,結(jié)果表明主共振響應(yīng)存在多解和非線性跳躍現(xiàn)象,激勵對模態(tài)幅值及非線性特性具有顯著影響.隨著激勵的增大,系統(tǒng)出現(xiàn)由剛度硬特性向軟特性的轉(zhuǎn)變;當(dāng)激勵超過臨界值時,系統(tǒng)幅頻響應(yīng)表現(xiàn)出剛度漸軟特性,共振頻率隨簡諧激勵幅值的增大而減小.
[Abstract]:In this paper, the nonlinear dynamic response of a space antenna under the main resonance excitation is studied, and the coupling between the manipulator and the antenna is considered. A T- shaped beam structure consisting of two rigid arms and two isotropic flexible beams is proposed. The Lagrange equation and the assumed mode method are used. The nonlinear dynamic equation of four degrees of freedom in the plane of T- type rigid-flexible coupling antenna is established. The three-order approximate solution of the main resonance is obtained by using the multi-scale method, and the analytical equation of the main common amplitude frequency response of the system is obtained. The amplitude and frequency response of the system is analyzed. The results show that there are multiple solutions and nonlinear jump phenomena in the main resonance response, and the excitation has a significant effect on the modal amplitude and nonlinear characteristics. With the increase of the excitation, the system changes from stiffness and hard to soft characteristics. When the excitation exceeds the critical value, the amplitude-frequency response of the system shows the characteristic of stiffness softening, and the resonance frequency decreases with the increase of the harmonic excitation amplitude.
【作者單位】： 南京航空航天大學(xué)機(jī)械結(jié)構(gòu)力學(xué)及控制國家重點實驗室;
【基金】：國家自然科學(xué)基金重大項目(編號:11290153) 裝備預(yù)研基金資助項目(編號:6140210010202) 江蘇高校優(yōu)勢學(xué)科建設(shè)工程資助項目
【分類號】：TN820
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1 何朝霞;潘平;羅輝;;基于非線性共振的說話人特征提取研究與仿真[J];科學(xué)技術(shù)與工程;2012年25期
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