本文選題：混凝土　切入點：SH波散射　出處：《哈爾濱工程大學(xué)》2014年碩士論文　論文類型：學(xué)位論文

【摘要】：彈性波動理論對于結(jié)構(gòu)工程中無損檢測技術(shù)的發(fā)展具有重要的意義�；炷涟鍤さ姆雌矫孢\動中,由缺陷引起的應(yīng)力集中問題可以按照帶形介質(zhì)中圓柱孔洞對SH型導(dǎo)波的散射問題來分析。本文主要分為兩個部分。在第一部分采用解析方法研究這個問題。首先,構(gòu)造帶形介質(zhì)中相容導(dǎo)波的形式,即其滿足上、下邊界應(yīng)力自由條件。之后,由波函數(shù)展開法給出圓形孔洞的散射波的級數(shù)表示,根據(jù)累次鏡像疊加的方法構(gòu)造由上、下邊界反射所形成的相容的散射導(dǎo)波。最后,給定入射導(dǎo)波,由圓柱孔洞邊界應(yīng)力自由的條件來定解波函數(shù)級數(shù)的系數(shù)。數(shù)值算例求解了特定導(dǎo)波對圓柱孔洞的散射,給出了圓柱孔洞邊沿的動應(yīng)力分布,討論了導(dǎo)波階數(shù)、頻率以及孔洞位置的影響。在第二部分,選用工程中常見的C30混凝土的各項物理參數(shù),給出一個具體的實例模型。根據(jù)有限單元法的基本原理,確定荷載的加載方式,模型的邊界條件,有限單元的尺寸以及積分時間步長等參數(shù)。分別進(jìn)行解析方法與數(shù)值方法的計算,最后對兩者的結(jié)果數(shù)據(jù)進(jìn)行對比與分析。本文能夠豐富彈性動力學(xué)中關(guān)于反平面應(yīng)變問題的研究,并為結(jié)構(gòu)檢測技術(shù)的發(fā)展提供理論依據(jù)。
[Abstract]:The theory of elastic wave is of great significance for the development of nondestructive testing technology in structural engineering. The problem of stress concentration caused by defects can be analyzed according to the scattering of SH guided waves by cylindrical holes in a strip medium. This paper is mainly divided into two parts. In the first part, analytical methods are used to study this problem. The form of compatible guided waves in a ribbon medium is constructed, that is, it satisfies the free condition of upper and lower boundary stress. Then, the series representation of scattering waves of circular holes is given by the method of wave function expansion, and constructed by the method of repeated image superposition. Finally, given the incident guided wave, the coefficients of the wave function series are determined by the condition of free stress in the boundary of the cylindrical hole. Numerical examples are given to solve the scattering of the cylindrical hole by a particular guided wave. The dynamic stress distribution along the edge of cylindrical hole is given, and the influence of guided wave order, frequency and hole position is discussed. In the second part, the common physical parameters of C30 concrete are selected. A concrete example model is given. According to the basic principle of the finite element method, the loading mode of the load and the boundary conditions of the model are determined. The size and integral time step of finite element are calculated by analytical method and numerical method respectively. Finally, the results are compared and analyzed. This paper can enrich the research on anti-plane strain problem in elastic dynamics and provide the theoretical basis for the development of structural detection technology.
【學(xué)位授予單位】：哈爾濱工程大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TU375.2

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 齊輝;折勇;趙嘉喜;;帶形域內(nèi)圓柱形夾雜對SH型導(dǎo)波的散射[J];振動與沖擊;2009年05期

2 楊在林;孫柏濤;劉殿魁;;SH波在淺埋可移動圓柱形剛性夾雜處的散射與地震動[J];地震工程與工程振動;2008年04期

3 史文譜;張春萍;y嚲┝，

本文編號：1644203