FINITE ELEMENT FORMULATION FOR STATIC SHAPE CONTROL OF A THIN EULER-BERNOULLI BEAM USING PIEZOELECTRIC ACTUATORS

机译：压电致动器用于薄EULER-BERNOULLI梁静态形状控制的有限元公式

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The main component of future space satellites will be an ultra-large, ultra-low mass aperture for high bandwidth communication or high quality imaging from on-orbit. Such an aperture will require an extremely high surface precision tolerance in order to be effective, especially for imaging purposes. Such tight surface precision tolerances dictate the use of an active control scheme to enable tight control of the shape of the aperture. Further, by integrating an active control scheme during the fabrication process, the aperture will become multi-functional and enable many scientific endeavors. One possible method for analyzing ultra-flexible space structures is through the use of the finite element method. Although many commercial packages are available, careful design of a tailored finite element solver can reveal important information about the system, such as where sensors should be placed on the structure. As an illustrative example, this work formulates the weak form of the equation of motion governing the dynamics of a cantilevered, Euler-Bernoulli beam. In particular, static shape control will be implemented on such a beam using a mathematically formulated LQR controller.

机译：未来太空卫星的主要组成部分将是超大，超低质量的孔径，用于高带宽通信或在轨高质量的成像。这样的孔将需要极高的表面精度公差以便有效，特别是对于成像目的。这种严格的表面精度公差要求使用主动控制方案来实现对孔的形状的严格控制。此外，通过在制造过程中集成主动控制方案，光圈将变得多功能，并可以进行许多科学工作。分析超柔性空间结构的一种可能方法是使用有限元方法。尽管有许多商业软件包可用，但是精心设计的有限元求解器可以揭示有关系统的重要信息，例如应在结构上放置传感器的位置。举一个说明性的例子，这项工作制定了控制悬臂式Euler-Bernoulli光束动力学的运动方程的弱形式。特别是，将使用数学公式化的LQR控制器对此类光束实施静态形状控制。

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来源
《AD-vol.69; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20041113-19; Anaheim,CA(US)》|2004年|P.9-16|共8页
会议地点 AnaheimCA(US)
作者
Eric J. Ruggiero; John Singler; John A. Burns; Daniel J. Inman;
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Center for Intelligent Material Systems and Structures Virginia Polytechnic Institute and State University Blacksburg, VA 24061-0261, USA;

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正文语种 eng
中图分类航空用材料;
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1. Nonlinear quasi-static finite element formulations for viscoelastic Euler-Bernoulli and Timoshenko beams [J] . G. S. Payette, J. N. Reddy International journal for numerical methods in biomedical engineering . 2010,第12期

机译：粘弹性Euler-Bernoulli和Timoshenko梁的非线性拟静态有限元公式
2. A new dynamic finite element (DFE) formulation for lateral free vibrations of Euler-Bernoulli spinning beams using trigonometric shape functions [J] . S. M. Hashemi, M. J. Richard, G. Dhatt Journal of Sound and Vibration . 1999,第4期

机译：三角形状函数用于Euler-Bernoulli旋转光束横向自由振动的新动态有限元（DFE）公式
3. Static behavior of nonlocal Euler-Bernoulli beam model embedded in an elastic medium using mixed finite element formulation [J] . Tuan Ngoc Nguyen, Kim Nam-Il, Lee Jaehong Structural Engineering and Mechanics . 2017,第2期

机译：使用混合有限元公式的弹性介质中嵌入非局部Euler-Bernoulli梁模型的静态行为
4. FINITE ELEMENT FORMULATION FOR STATIC SHAPE CONTROL OF A THIN EULER-BERNOULLI BEAM USING PIEZOELECTRIC ACTUATORS [C] . Eric J. Ruggiero, John Singler, John A. Burns, American Society of Mechanical Engineers International Mechanical Engineering Congress and Exposition . 2004

机译：用压电致动器进行薄欧拉 - 伯努利梁静态控制的有限元配方
5. Control of dynamic response of thin-walled composite beams using structural tailoring and piezoelectric actuation. [D] . Na, Sungsoo. 1997

机译：使用结构调整和压电驱动来控制薄壁组合梁的动力响应。
6. Mixed finite-element formulations in piezoelectricity and flexoelectricity [O] . Sheng Mao, Prashant K. Purohit, Nikolaos Aravas -1

机译：压电和柔电的混合有限元公式
7. An efficient coupled polynomial interpolation scheme to eliminate material-locking in the Euler-Bernoulli piezoelectric beam finite element [O] . Litesh N. Sulbhewar, P. Raveendranath 2015

机译：一种有效的耦合多项式插值方案，消除Euler-Bernoulli压电束有限元件中的材料锁定

FINITE ELEMENT FORMULATION FOR STATIC SHAPE CONTROL OF A THIN EULER-BERNOULLI BEAM USING PIEZOELECTRIC ACTUATORS

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