波動方程分析 的英文怎麼說
中文拼音 [bōdòngfāngchéngfēnxī]
波動方程分析
英文
wave equation analysis- 波 : Ⅰ名詞1 (波浪) wave 2 [物理學] (振動傳播的過程) wave 3 (意外變化) an unexpected turn of even...
- 方 : Ⅰ名詞1 (方形; 方體) square 2 [數學] (乘方) involution; power 3 (方向) direction 4 (方面) ...
- 程 : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 析 : Ⅰ動詞1. (分開; 散開) divide; separate 2. (分析) analyse; dissect; resolve Ⅱ名詞(姓氏) a surname
- 波動 : 1 (不穩定) undulate; fluctuate; unsettle; surge; rise and fall 2 [物理學] wave (motion); wave...
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In the first part of the text, this paper shows that schrodinger insisted on classical realism ' s frame in 1926 through the analysis of the relation of schrodinger ' s wave mechanics and classical realism, and that he thought that the real reality is the function that depends on the wave equation, and that the particles " concept is only a uncontinuous component of - function ' s quantum
文章共分三個部分:第一部分分析了薛定諤的波動力學與經典實在論的關系,闡明了薛定諤在1926年所堅持的經典實在觀的理論框架,他認為:由波動方程來支配的那個場就是終極的實在;粒子概念不過是由場的『量子化』所引入的那種不連續要素的一個名稱而已。The first place, though analyzing between the sound approximately equation and the electromagnetic wave equation, we get the similarities in the form of equation. based on these, we can easily take the migration theories and methods of reflection seismic into gpr ' s
本論文的核心內容包括: ( 1 )通過對聲波波動方程和電磁波波動方程對比分析,根據它們波動方程在形式上的一致性,建立將廣泛應用於地震勘探中的偏移技術引入到gpr數據處理中的理論基礎。Ill - posed nature and regularization of inverse problem for one dimensional wave equation
一維波動方程反問題的不適定性及正則化分析Furthermore, the dual integral equations can be reduced to the fredholm integral equations of the second kind and solved by numerical procedure. at the end of this chapter, the numerical analysis for dynamic interaction characters of saturated half - space / layered ground and circular plate is evaluated. finally, the solutions for 3 - d dynamic responding of elastic rect
基於橫觀各向同性飽和半空間/有限層地基非軸對稱波動方程的通解,按混合邊值問題建立飽和地基與彈性圓板非軸對稱動力相互作用的積分方程,求解積分方程后得到橫觀各向同性飽和地基上圓板非軸對稱動力響應的一般解,並分析了飽和地基上圓薄板和中厚板振動的若干特徵。We begin with the maxwell - field equations, deduce the wave - propagation equations, and then analyze the characteristics of guided modes in optical fiber. based on these, we derive the coupled - mode equations that describe the interaction between the modes
從光纖中的麥克斯韋方程組出發,首先推導出描述光在光纖傳播的波動方程,進而分析光纖中模式特性,並在此基礎上,嚴格推導出描述模式耦合的耦合模方程。Wave equation analysis
深基礎波動方程分析The main work includes : for the torsional vibrations of a rigid disk on saturated media, first, the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated. then, considering the mixed boundary - value condition, the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained, which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures. consequently, the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one
在前人研究的基礎上,本文基於陳龍珠等曾提出的一組實用飽和土波動方程,用解析或半解析的方法首次較系統而深入地研究了飽和半空間地基與基礎的扭轉振動問題,主要工作有:對于飽和地基上剛性圓板的扭轉振動,作者首先採用hankel變換求解了動力控制方程,得到了該控制方程在hankel變換域內的通解,然後由混合邊值條件建立了飽和地基上剛性基礎扭轉振動時的對偶積分方程,並將其化為易於數值求解的第二類fredholm積分方程,用數值方法計算了基礎的動柔度和扭轉角幅值與振動頻率的關系曲線,並將其與單相彈性介質情況進行了對比分析。To study the acoustic unsteady combustion of srm, built the acoustic model of chamber. deduced the little amplitude sound wave 3d equation, used the finite volume discrete method to simulate. got the vibration model of three kinds of chamber
為研究固體火箭發動機聲不穩定燃燒特性,建立了燃燒室內聲學特性分析的物理數學模型,推導了小振幅聲波三維波動方程,採用有限體積離散方法進行模擬,得到圓柱型、四片翼柱彤和五片翼柱型藥柱三種燃燒室形狀聲學振動基本模態Thirdly, the method to calculate the 3 - d dynamic responding of layered transversely isotropic saturated soils to an arbitrary buried source in cylindrical coordinate as well as to an arbitrary harmonious source in rectangular coordinate is presented respectively. based on biot ' s wave theory, the 3 - d wave equations in cylindrical coordinate for transversely isotropic saturated poroelastic media are transformed into a group of governing different equations with 1 - order by the fourier expanding with respect to azimuth and hankel integral transform method or by the double fourier transform method with respect to horizontal coordinates in rectangular coordinate. then, transfer matrixes within layered media are derived under the continuous conditions, drainage conditions and the boundary conditions
基於飽和土的biot波動理論,通過fouricr變換,將橫觀各向同性飽和土三維非軸對稱波動方程轉化為一組一階常微分方程組,再經har止el變換,建立問題的狀態方程,求解狀態方程得到傳遞矩陣;利用傳遞矩陣,結合飽和層狀地基的邊界條件、排水條件及層間接觸和連續條件,首次給出層狀橫觀各向同性飽和地基在任意地展力作用下的三維非軸對稱動力響應的解析解。( 2 ) based on the wave equation in the acoustic fluid space and the theory of thin - wall structure, the non - symmetrical coupled structure - acoustic dynamic equation without damping is studied. the non - symmetric system of the finite element model for coupled structure - acoustic response is solved by the conjugate subspace iteration method
由聲空間波動方程和薄板理論出發,對聲場?結構耦合系統的模態分析提出了有限元數值方法,採用共扼子空間迭代法對非對稱特徵方程進行處理,採用靜凝聚法消除質量矩陣的奇異性。From wave equation, under small signal approximation, a theoretical calculation of shg efficiency and acceptances is presented. according to this, the acceptances of wavelength, period, temperature and incidence angle are calculated. these will guide the experiment and the fabrication of optical supperlattice ( osl )
2 、從波動方程出發,在小信號近似下,推導了qpm倍頻公式,分析了波矢失配的起因及影響,從理論上推導了波長,周期,溫度和入射角的接收帶寬,討論了占空比對輸出效率的影響,對介質制備及實驗有一定的指導意義。The important parts of this work consist of : 1. the high frequency asymptotic evaluation of wave equations in nonhomogeneous medium by maslov ' s method is systematically studied, and formulations of the high frequency asymptotic evaluation in nonhomogeneous medium which varying only in one direction are constructed
本論文的工作作為國家自然科學基金地震波傳播與成像項目( no . 40174032 )的一部分,得到如下結果: (一)論文分析了利用maslov方法求解非均勻介質中波動方程高頻近似解的基本原理和求解過程,構造了介質系數只在一個方向變化時波動方程高頻近似解的通用計算公式。Based on analysis of wave process in sedimentary basins, firstly, milankovitch cycle was recognized by well logging data and accurate chronostratigraphic framework was created ; and then two kinks of high frequency cyclic wave that controlled and affected the basin sedimentation were analyzed by means of slip window and wave equations were established
以沉積盆地波動過程分析方法為基礎,首先利用測井資料對米蘭柯維奇旋迴進行識別,建立精細年代地層格架;然後運用滑動窗口濾波方法分解出控制和影響盆地沉積的高頻周期波,建立了波動方程。Using the finite difference method, the wave equation describing the dynamic change of sucker rod is solved, the pump dynamometer card is calculated combining with practical example, the pump dynamometer card taken from that calculating method is analyzed, and the governing factors influencing working performance of sucker rod pump are pointed out, the performance and efficiency of sucker rod pump are improved by the reasonable adjustment of suction parameters
本文利用有限差分法求解了描述抽油桿柱動態變化的帶阻尼的波動方程,計算出了反映抽油泵工作性能的泵功圖。結合實例,對模擬得出的泵功圖進行分析,找出了影響泵況的主要因素,通過參數調整,改善了抽油泵性能,提高了油井效率。In addition, this paper has analyzed and calculated the wave - guide mode theory, got the quantum well laser photic - field distribution ' s fluctuation equation, deduced the far - field distribution ' s mathematics model by the method of stepwise approached, and simulated the near - field and far - field about the laser with computer software. we utilized a pair of mode expand layers which can restricted in photic - field to narrowed the far - field comer about quantum well laser material structure ( the corner was about 21 ?
另外本文還對光波導模式理論進行了理論分析和計算,得到了量子阱激光器光場分佈的波動方程,利用逐步逼近的方法推導出了遠場分佈的數值模型,通過計算機軟體模擬出了激光器遠近場分布圖,並利用模式擴展層對光場的限製作用得到了窄遠場發散角(約為21 )的量子阱激光器材料結構。Using basic equations in continuum mechanics, the wave - motion equation in the geometrical nonlinear elastic rod is derived, and then the characteristic curves and their characteristic relations are deduced by the characteristic line method, and the alterations of the wave profiles are analyzed during propagation
利用基本方程導出了彈性細桿的幾何非線性波動方程,用特徵線法求得它的特徵線和特徵線上的相容關系,分析了波形在傳播過程中的變化規律。Furthermore using the variation principle in the elasticity, the wave - motion equation is derived in the finite deformation elastic thin rod with viscous and transverse inertia effects, and the characteristic curves and their characteristic relations are obtained by characteristic line method, and the influence of viscous and geometrical - dispersive effects on the propagation of wave is analyzed
再利用彈性力學中的變分原理,導出了同時計及粘性和橫向慣性效應時的彈性細桿的幾何非線性波的波動方程,用特徵線法得到它的特徵線和特徵線上的相容關系,分析了粘性耗散和幾何彌散效應對波的傳播速度的影響。In this thesis, based on related previous references, using the non - fourier law of heat conduction, applying the image method, expand method of wave function, multiple scattering of thermal waves in materials with subsurface defects are investigated. our research works are concretely as following
本文在分析了國內外相關文獻的基礎上,基於非傅里葉熱傳導波動方程,採用鏡像方法和波函數展開法,研究了固體介質中亞表面圓柱缺陷和球形缺陷對熱波的多重散射問題。In this paper, the multi - scale technology is introduced to study the wave - motion equations with viscous or transverse inertia effects or both of them. burgers equation, k - dv equation and kdv - burgers equation are deduced respectively, and correspondingly the steady shock - wave solutions, solitary wave solutions and oscillation solitary wave or shock - wave solutions are obtained
接著,又採用奇異攝動理論中的多尺度變換法分析並簡化了分別計入粘性、橫向慣性效應以及同時計入這兩種因素時的幾何非線性波的波動方程,分別得到了經典的burgers方程、 k - dv方程和kdv - burgers方程;並求出它們相應的穩態解分別為激波解、孤波解和振蕩孤波解或激波解。Based on this, i adopt the theory of probability and statistic to establish the obscuration ’ s model ; adopt the theory of diffraction to analyze the linear propagation of obscuration ; adopt the theory of nonlinear paraxial equation to comprehend the nonlinear propagation of obscuration
基於此,本文採用概率與統計理論建立了散射點模型,並在此基礎上從衍射理論出發分析散射點的線性傳輸規律,從非線性近軸波動方程出發分析散射點的非線性傳輸規律。分享友人