本文選題：周期加強(qiáng)板 + 振動響應(yīng)��； 參考：《大連理工大學(xué)》2013年博士論文

【摘要】：周期加強(qiáng)板結(jié)構(gòu)廣泛應(yīng)用于機(jī)械工程、航空航天、船舶潛艇和車輛工程等領(lǐng)域,因而與其相關(guān)的振動及聲學(xué)特性的研究具有十分重要的工程價(jià)值。為了深入分析周期加強(qiáng)板的聲振特性,本文對其振動響應(yīng)、聲輻射、反射和透射等性質(zhì)進(jìn)行了系統(tǒng)研究,并對周期加強(qiáng)的微穿孔板的吸聲性能進(jìn)行了分析。其中主要研究內(nèi)容包括： (1)綜合運(yùn)用空間波數(shù)法、格林函數(shù)、泊松迭加公式和傅里葉變換等數(shù)學(xué)方法分析了流體負(fù)載下的,異向正交周期加筋和同向雙周期加筋兩種不同類型加筋薄板結(jié)構(gòu)在諧振面力作用下的振動響應(yīng)和聲輻射。對于異向正交周期加筋薄板,采用空間波數(shù)法將其振動位移及輻射聲壓表達(dá)為一系列諧波分量的迭加。對于同向雙周期加筋薄板,利用分量迭加公式及結(jié)構(gòu)周期性質(zhì),求解得到其振動位移及輻射聲壓方程。同時(shí)分析了加強(qiáng)筋對薄板的法向力作用及扭矩作用。計(jì)算結(jié)果表明周期加強(qiáng)筋在中低頻域區(qū)間起到了降低薄板輻射聲壓的作用。 (2)研究了流體負(fù)載下的不同類型雙周期加強(qiáng)薄板,在諧振面力激勵下的振動響應(yīng)和聲輻射,并提出了一種基于有限元和空間波數(shù)法的半解析半數(shù)值方法；附加的周期結(jié)構(gòu)可以是包含筋在內(nèi)的任意不同形狀的結(jié)構(gòu)。為了得到不同類型周期結(jié)構(gòu)與薄板間的作用力,基于有限元的思想對周期結(jié)構(gòu)進(jìn)行單元離散,將薄板與周期結(jié)構(gòu)的面力等效為離散節(jié)點(diǎn)力的作用,并最終將周期加強(qiáng)板的振動位移和輻射聲壓方程表達(dá)為薄板離散點(diǎn)位移的函數(shù)。運(yùn)用加強(qiáng)板結(jié)構(gòu)周期性質(zhì)及空間波數(shù)理論,在實(shí)際分析時(shí)只需要計(jì)算一個(gè)周期單元的離散點(diǎn)位移,有效地降低了計(jì)算工作量。 (3)分別通過均勻等效模型和周期模型兩種建模方法研究了雙周期肋骨連接的雙層板結(jié)構(gòu)的反射和透射聲壓；并在單層周期加筋板的基礎(chǔ)上,對另外一種類型的拉桿連接的雙層周期加筋板結(jié)構(gòu)采用周期模型方法進(jìn)行了研究。雙層薄板結(jié)構(gòu)附加周期連接肋后增加了結(jié)構(gòu)的平均反射聲壓而降低了其透射聲壓。拉桿對雙層加筋板結(jié)構(gòu)反射和透射聲壓的影響主要是在幾千赫茲內(nèi)的中低頻域區(qū)間。 (4)采用耦合法和級聯(lián)法兩種方法研究了單層及多層雙周期加強(qiáng)板的透聲系數(shù)。耦合法是同時(shí)對整體多層加強(qiáng)板結(jié)構(gòu)進(jìn)行分析,并將所有聲振未知量在統(tǒng)一的矩陣方程中計(jì)算求解得到。級聯(lián)法是首先分析單層板結(jié)構(gòu)的振動及聲壓方程,并在此基礎(chǔ)上通過聲波的空間傳播性質(zhì)以及各層板聲壓矩陣的級聯(lián)得到整體多層結(jié)構(gòu)的反射及透射聲壓系數(shù)矩陣。在水中環(huán)境下加強(qiáng)板結(jié)構(gòu)的彎曲振動作用顯著,且周期結(jié)構(gòu)起到了降低結(jié)構(gòu)透聲系數(shù)的作用。 (5)基于微穿孔板相關(guān)聲學(xué)理論的基本公式,研究了周期加強(qiáng)微穿孔板的吸聲性質(zhì),并在單層板結(jié)構(gòu)反射與透射系數(shù)矩陣的基礎(chǔ)上,通過級聯(lián)的方法進(jìn)一步分析了多層周期加強(qiáng)微穿孔板的吸聲特性,并與單層結(jié)構(gòu)進(jìn)行了比較。分析結(jié)果表明,水中周期加強(qiáng)的微穿孔板的吸聲性能遠(yuǎn)高于未加強(qiáng)的微穿孔板的吸聲性能,多層板結(jié)構(gòu)具有比單層結(jié)構(gòu)更優(yōu)良的吸聲性能,且吸聲系數(shù)隨穿孔板層數(shù)的增加而增大。通過對薄板加工微孔和附加適當(dāng)周期結(jié)構(gòu)的方法可以有效地提高水下薄板的吸聲性能,對吸聲結(jié)構(gòu)的設(shè)計(jì)和研究具有重要價(jià)值。
[Abstract]:Periodic stiffened plates are widely used in the fields of mechanical engineering, aeronautics and Astronautics, ship submarines and vehicle engineering and so on. Therefore, the study of its related vibration and acoustic characteristics is of great engineering value. In order to analyze the acoustic vibration characteristics of the periodic reinforced plate, the characteristics of its vibration response, sound radiation, reflection and transmission are carried out in this paper. The sound absorption properties of perforated panels strengthened by cycle are analyzed.
(1) by using the spatial wave number method, Green's function, Poisson superposition formula and Fu Liye transform, the vibration response and sound radiation of two different types of stiffened plates under the action of resonance surface force under the fluid load are analyzed under the fluid load. The vibration displacement and the sound pressure are expressed as a series of harmonic components by the spatial wave number method. The equation of vibration displacement and sound pressure is obtained by using the component superposition formula and the periodic properties of the structure for a double cycle stiffened plate with same direction. At the same time, the normal force action and the torque effect of the stiffeners to the thin plate are analyzed. The calculation results are also analyzed. It shows that the periodic stiffeners play a role in reducing the sound pressure of the thin plate in the middle and low frequency range.
(2) the vibration response and acoustic radiation of different type double periodic stiffened plates under the fluid load under the excitation of the resonant surface force are studied. A semi analytical and semi numerical method based on the finite element method and the space wave number method is proposed. The additional periodic structure can be a structure with any different shapes including the reinforcement. The force between the periodic structure and the plate is discretized on the periodic structure based on the thought of the finite element, and the surface force of the plate and the periodic structure is equivalent to the discrete node force. Finally, the vibration displacement and the radiation pressure equation of the periodic stiffened plate are expressed as the function of the discrete point displacement of the thin plate. And the theory of spatial wavenumbers, in actual analysis, we only need to calculate the discrete point displacement of a periodic unit, which effectively reduces the computational workload.
(3) the reflection and transmission sound pressure of double periodic ribs connected by double periodic ribs are studied by the two modeling methods of uniform equivalent and periodic model, and on the basis of a single layer periodic stiffened plate, the periodic model method is used to study the double deck stiffened plate structure connected by another type of pull rod. The average reflected sound pressure of the structure is increased after the additional periodic connection of the structure, and the transmission sound pressure is reduced. The influence of the pull rod on the reflection and transmission sound pressure of the double stiffened plate structure is mainly in the middle and low frequency range in the thousands of Hertz.
(4) the coupling method and cascade method are used to study the sound permeability coefficient of single layer and multilayer double periodic stiffened plate. The coupling method is used to analyze the overall multilayer stiffened plate structure and calculate all the acoustic vibration unknown in a unified matrix equation. The cascade method is the first analysis of the vibration and sound pressure equation of the single layer plate structure. On this basis, the reflection and transmission sound pressure coefficient matrix of the whole multilayer structure is obtained by the spatial propagation properties of sound wave and the cascade of the sound pressure matrix of various laminates. The flexural vibration of the plate structure is strengthened in the water environment, and the periodic structure plays a role in reducing the sound permeability coefficient of the structure.
(5) based on the basic formula of the related acoustic theory of microperforated plate, the sound absorption properties of the periodically strengthened microperforated plate are studied. On the basis of the reflection and transmission coefficient matrix of the single layer plate structure, the sound absorption characteristics of the multilayer periodic reinforced micro perforated plate are further analyzed by cascade method, and the comparison with the single layer structure is made. It is clear that the sound absorption property of the micro perforated plate strengthened by the water cycle is much higher than that of the unreinforced micro perforated plate. The multilayer plate structure has better sound absorption properties than the single layer structure, and the sound absorption coefficient increases with the increase of the number of perforated plates. The sound absorption property of underwater thin plate is of great value to the design and research of sound absorption structure.
【學(xué)位授予單位】：大連理工大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2013
【分類號】：TB533;TH113.1

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