本文選題：壓電 + 層合曲殼��； 參考：《大連理工大學(xué)》2014年碩士論文

【摘要】：曲殼結(jié)構(gòu)是空間結(jié)構(gòu)的常見形式,曲殼結(jié)構(gòu)通常結(jié)構(gòu)阻尼較小,在外激勵下振動衰減緩慢,控制殼體結(jié)構(gòu)的振動對其結(jié)構(gòu)性能的提高非常重要。壓電材料作為一種智能材料,以其獨(dú)特的力電耦合性質(zhì)在振動控制領(lǐng)域占有著一席之地,以壓電材料作為作動器與傳感器對曲殼結(jié)構(gòu)進(jìn)行振動控制一直是一個研究熱點(diǎn)問題。本文以壓電曲殼結(jié)構(gòu)為研究對象,主要內(nèi)容有： 本文為了減少彈性曲殼結(jié)構(gòu)振動最優(yōu)控制的計(jì)算量,一方面采用空間曲殼單元來模擬空間結(jié)構(gòu),減少結(jié)構(gòu)自由度,另一方面把模態(tài)空間法和最優(yōu)控制算法結(jié)合,降低控制算法的計(jì)算量。在此基礎(chǔ)上,利用壓電曲殼單元完成了結(jié)構(gòu)振動最優(yōu)控制。對上述理論和算法進(jìn)行了程序?qū)崿F(xiàn),數(shù)值算例驗(yàn)證了本文方法的有效性。 以含有傳感層與作動層的復(fù)合材料壓電層合曲殼為研究對象,在空間曲殼單元的基礎(chǔ)上,針對復(fù)合材料層合曲殼的受力特性,對其進(jìn)行有限元建模,推導(dǎo)了相關(guān)有限元列式。并在數(shù)值算例中,與ANSYS計(jì)算結(jié)果進(jìn)行了對比,驗(yàn)證了本文有限元模型的精確性。 基于壓電層合曲殼的有限元模型,采用負(fù)速度反饋控制律,建立結(jié)構(gòu)的振動控制方程,討論負(fù)速度反饋對結(jié)構(gòu)的影響。在模態(tài)空間狀態(tài)中,同樣對壓電復(fù)合材料層合曲殼進(jìn)行了振動最優(yōu)控制求解,獲得各單元電壓軌跡線,實(shí)現(xiàn)對結(jié)構(gòu)的振動最優(yōu)控制。對上述理論和算法進(jìn)行了程序?qū)崿F(xiàn),數(shù)值算例說明本文能夠?qū)弘妼雍锨鷼そY(jié)構(gòu)的振動進(jìn)行有效控制。 最后,在模態(tài)空間最優(yōu)控制法對結(jié)構(gòu)進(jìn)行振動控制的基礎(chǔ)上,建立振動控制的優(yōu)化模型,并采用模擬退火算法進(jìn)行了優(yōu)化求解。在數(shù)值算例中,對壓電層合板殼的壓電作動器與傳感器配置進(jìn)行優(yōu)化,說明了模型和方法的有效性。
[Abstract]:A curved shell structure is a common form of space structure. A curved shell structure is usually less damped and attenuates slowly under external excitation. It is very important to control the vibration of the shell structure to improve its structural performance. As a smart material, piezoelectric materials occupy a place in the field of vibration control with their unique mechanical and electrical coupling properties. The vibration control of piezoelectric materials as actuators and sensors has always been a hot topic of research. In this paper, the piezoelectric curved shell structure is used as the research object, the main contents are as follows:
In order to reduce the calculation of optimal vibration control of elastic curved shell structure, the space curved shell element is used to simulate the spatial structure and reduce the degree of freedom of the structure on the one hand. On the other hand, the modal space method and the optimal control algorithm are combined to reduce the calculation amount of the control algorithm. On the basis of this, the piezoelectric curved shell element is used to complete the most vibration of the structure. The above theory and algorithm are programmed and numerical examples are given to illustrate the effectiveness of the proposed method.
On the basis of the spatial curved shell element, the finite element model of composite laminated shell is modeled and the finite element method is derived on the basis of the spatial curved shell element, and the finite element formula is derived on the basis of the space curved shell element, and the finite element formula is derived on the basis of the space curved shell element. The numerical example is compared with the ANSYS calculation results, and the finite element method is proved to be limited. The accuracy of the metamodel.
Based on the finite element model of the piezoelectric laminated shell, the negative velocity feedback control law is adopted to establish the vibration control equation of the structure, and the influence of the negative velocity feedback on the structure is discussed. In the state of modal space, the optimal control of the vibration of the laminated composite shell of the piezoelectric composite material is solved, and the voltage locus of each unit is obtained to realize the vibration of the structure. Dynamic optimization control. The above theory and algorithm are programmed. Numerical examples show that this paper can effectively control the vibration of piezoelectric laminated shell structures.
Finally, on the basis of the vibration control of the structure with the modal space optimal control method, the optimization model of the vibration control is established, and the simulated annealing algorithm is used to optimize the solution. In the numerical example, the piezoelectric actuator and the sensor configuration of the piezoelectric laminated plate are optimized, which shows the validity of the model and the method.

【學(xué)位授予單位】：大連理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TB535

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本文編號：1774575