組合板結(jié)構(gòu)面內(nèi)和面外振動(dòng)動(dòng)剛度法研究
本文選題:組合板結(jié)構(gòu) + 動(dòng)剛度法 ; 參考:《中國艦船研究院》2016年碩士論文
【摘要】:船舶結(jié)構(gòu)的振動(dòng)特性分析是研究船舶結(jié)構(gòu)振動(dòng)的主要內(nèi)容。過大的振動(dòng)響應(yīng)會影響船上人員的工作、休息等,還會引起局部結(jié)構(gòu)的聲振疲勞破壞,裝有設(shè)備的結(jié)構(gòu)在振動(dòng)時(shí)會把振動(dòng)傳給設(shè)備,影響電子儀器的正常發(fā)揮,這一問題隨著船舶及動(dòng)力裝置向高速化大型化發(fā)展變得越來越嚴(yán)重。平板是組成船舶結(jié)構(gòu)最基本也是最重要的單元,為了適應(yīng)工程上的需要,板與板之間常常通過耦合形成復(fù)雜的組合板結(jié)構(gòu)。結(jié)構(gòu)在受到激勵(lì)時(shí),主要產(chǎn)生平面縱波、平面剪切波以及橫向彎曲波三種沿板內(nèi)傳播的波,面內(nèi)振動(dòng)波和彎曲波不僅在板內(nèi)傳播,而且在交叉連接處發(fā)生反射、折射,使組合板結(jié)構(gòu)的振動(dòng)性能變得復(fù)雜。所以單獨(dú)考慮面內(nèi)振動(dòng)或彎曲振動(dòng)是遠(yuǎn)遠(yuǎn)不夠的,必須將它們同時(shí)考慮在內(nèi)。本文首先推導(dǎo)矩形板的動(dòng)剛度矩陣,通過投影法以及一系列的代數(shù)運(yùn)算給出面內(nèi)振動(dòng)和彎曲耦合振動(dòng)的動(dòng)剛度矩陣的顯式表達(dá)式,求解結(jié)構(gòu)的固有頻率,并通過實(shí)驗(yàn)和數(shù)值計(jì)算進(jìn)行驗(yàn)證;然后將離散的板單元耦合形成復(fù)雜的組合板結(jié)構(gòu),通過坐標(biāo)變換將每個(gè)板單元局部坐標(biāo)系下的動(dòng)剛度矩陣轉(zhuǎn)換成全局坐標(biāo)系下的動(dòng)剛度矩陣,再利用經(jīng)典的有限元理論組裝形成整體組合板結(jié)構(gòu)的動(dòng)剛度矩陣,求解簡諧激勵(lì)下結(jié)構(gòu)的面內(nèi)振動(dòng)和彎曲振動(dòng)響應(yīng),得出結(jié)構(gòu)的位移響應(yīng)場和內(nèi)力場,通過L型板的算例進(jìn)行驗(yàn)證;進(jìn)一步在動(dòng)剛度法的基礎(chǔ)上計(jì)算討論了結(jié)構(gòu)中傳播的功率流;最后對典型的雙層底艙段結(jié)構(gòu)進(jìn)行簡化,通過動(dòng)剛度法計(jì)算了結(jié)構(gòu)的振動(dòng)響應(yīng),并對結(jié)構(gòu)參數(shù)的影響進(jìn)行分析,為工程應(yīng)用提供了理論指導(dǎo)。
[Abstract]:The analysis of the vibration characteristics of ship structure is the main content of studying the vibration of ship structure. Excessive vibration response will affect the work and rest of the crew on board the ship, and will also cause fatigue damage of the local structure. The structure equipped with the equipment will transmit the vibration to the equipment during vibration, which will affect the normal performance of the electronic instrument. This problem becomes more and more serious with the development of ship and power plant to high speed. Plate is the most basic and the most important element of ship structure. In order to meet the needs of engineering, the complex composite plate structure is often formed by coupling between plates and plates. When the structure is excited, there are three kinds of waves propagating along the plate: plane longitudinal wave, plane shear wave and transverse bending wave. The in-plane vibration wave and the bending wave not only propagate in the plate, but also reflect and refraction at the cross junction. The vibration performance of composite plate structure is complicated. Therefore, it is not enough to consider the in-plane vibration or bending vibration alone, and they must be taken into account at the same time. In this paper, the dynamic stiffness matrix of rectangular plate is first derived. The explicit expression of the dynamic stiffness matrix of the internal vibration and the bending coupling vibration is given by the projection method and a series of algebraic operations, and the natural frequency of the structure is solved. Then the discrete plate element is coupled to form a complex composite plate structure, and the dynamic stiffness matrix in the local coordinate system of each plate element is transformed into the dynamic stiffness matrix in the global coordinate system by coordinate transformation. Then the dynamic stiffness matrix of the whole composite plate structure is assembled by using the classical finite element theory, and the in-plane and bending vibration responses of the structure under simple harmonic excitation are solved, and the displacement response field and the internal force field of the structure are obtained. The power flow propagating in the structure is further calculated on the basis of the dynamic stiffness method. Finally, the typical bilayer structure is simplified, and the vibration response of the structure is calculated by the dynamic stiffness method. The influence of structural parameters is analyzed, which provides theoretical guidance for engineering application.
【學(xué)位授予單位】:中國艦船研究院
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2016
【分類號】:U661.44
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