非數值項 的英文怎麼說
中文拼音 [fēishǔzhíxiàng]
非數值項
英文
nonnumeric item-
Treating the anharmonic terms of potential energy as perturbations, and employing the formulas for atomic displacements and hamiltonian in phonon occupation number representation, the formulas for thermal expansion coefficients of crystal nano - wires are derived and the numerical calculations are carried out in this paper
摘要將原子間相互作用勢的非諧項作為微擾,運用聲子數表象中的晶格原子振動位移和晶格振動哈密頓公式,推導了納米晶體線的熱膨脹系數公式,並進行了數值計算。Thirdly, we obtain multiplicity of solutions for resonant non - homogeneous boundary perturbations from symmetric problem without parameter by a new perturbation method introduced by bolle in reference [ 4 ], applied in references [ 5 ] [ 6 ] and extend in reference [ 7 ]. references [ 5 ] [ 6 ] have considered some exceptive case while the section consider general case
再次,利用bolle在文獻[ 4 ]中提出的、被應用於文獻[ 5 ] [ 6 ]以及在文獻[ 7 ]中被推廣的一種新的擾動方法得到問題即不帶參數的對稱共振非齊次邊值擾動問題的多重解,在文獻[ 5 ] [ 6 ]中討論了非線性項為摘要幾種特殊情形的情況,此部分討論非線性項為一般情形的情況A numerical simulation of a planar 3r manipulator is performed. the results show that the non - linear torsion springs have important influences on the joint error and tip error of manipulators. moreover, the influences of linear part of non - linear, the lumped mass of the rigid links and the angular acceleration of joint actuators on the non - linear dynamic character of flexible joint manipulator are discussed
首先,建立了剛性桿非線性關節機器人的動力學模型,之後通過一平面3r機器人進行了數值模擬,說明了在一定情況下,關節的非線性對剛性桿機器人關節變形和末端誤差具有重要影響,並在此基礎上,討論了關節線性項、桿的集中質量和關節驅動加速度對機器人關節非線性特性的影響。The equation including the nonlinear dispersion, i. e. the modified nonlinear schrodinger ( mnls ) equation, is a better model. in this thesis, we take mnls solitons as a model for femtosecond soltions. then based on the recently developed direct perturbation theory for perturbed mnls equation, we study the raman self - frequency shift of femtosecond solitons and its suppression by the means of frequency filters. for this purpose, first, we define the physical parameters of mnls solitons ; next, through the direct perturbation theory for perturbed mnls equation, under adiabatic approximation, we obtain the evolving parameters of mnls soliton on our questions and then choose the parameters of frequency filters based on it ; at last, we directly numerically simulated our questions by split - step fourier ( ssf ) method after improving the arithmetic of the differentiation of the nonlinear item for satisfying mnls equation
本論文以mnls孤子作為光纖飛秒孤子的模型,通過新近建立的mnls孤子直接微擾理論,研究光纖中由拉曼效應引起的飛秒孤子在傳輸中的自頻移,以及通過頻率濾波對自頻移的抑制。為此,首先給出描述mnls孤子的各物理量,然後用mnls孤子直接微擾理論,解析地得到這些問題絕熱近似下的孤子參數演化,並由此選擇頻率濾波的參數,最後用分步傅里葉方法,在對非線性項微商的演算法做出了適合於mnls孤子的改善後,對拉曼效應及頻率濾波進行了直接數值模擬,其中頻率濾波參數用微擾理論確定。2. nonlinear source term identification problem about a quasilinear parabolic heat equation is investigated. for the given function determined, the existence and the uniqueness of the solution of the state equation are proved and the dependence of the solution of the state equation on the identification parameter is discussed ; then the identifiability is verified ; through choosing suitable basic functions, the above identification problem can be transformed into a constant coefficients identification problem ; and an practical iterative algorithm for solving the identification problem is presented, the feasibility and validity of the algorithm is verified by the numerical experiments
2 、研究一擬線性拋物型熱傳導方程非線性未知源項的識別問題;對于給定識別函數,論證了狀態方程解的存在惟一性、方程解與識別函數的依賴關系和可識別性;通過選取適當的基函數,把對非線性源項的識別轉化成常系數識別問題;給出了實現非線性源項識別的迭代演算法,通過數值實驗證明了演算法的有效性。Based on the vibration test in yantan hydropower house, in this paper the author adopt les method which belong to three dimensions unsteady turbulent flow numerical analysis to simulate vibration resource characteristics of hydrogenerator set, a harmonic vibration model of powerhouse substructure is put forward to carry out firstly a precise modal analysis and dynamic response analysis for generator floor. the numerical calculation results agree well with the surveyed data in situ
本文結合巖灘水電站廠房振動的試驗研究,採用非定常湍流數值分析的大渦模擬方法進行混流機組水力振動振源模擬;提出一種水電站廠房下部結構簡諧振動模型,首次進行了發電機層樓板結構的精確模態分析和水力激振荷載下的動力響應分析,各項計算結果與實測數據吻合良好。Type invalid in this example, non - numeric data into the first control, and then tab to the second
向第一個控制項中鍵入無效(在此例中為非數值的)數據,然後切換到第二個控制項。From the analytical point of view, with the aid of the numerical simulation, we investigate the propagation properties of optical pulses for the nonlinear schrodinger equation in picosecond regime, the higher - order nonlinear schrodinger equation in femtosecond regime, the nonlinear schrodinger equation with varying gain / loss and frequency chirping in homogeneous optical fibers, and ginzberg - landau equation that describes ultrashort pulses in the presence of self - frequency shift, respectively
本文從解析的角度出發,同時藉助各種微擾理論和數值分析方法,分別研究描述皮秒光脈沖傳輸的非線性薛定諤方程、飛秒光脈沖傳輸的高階非線性薛定諤方程、非均勻光纖中光脈沖傳輸的含有頻率啁啾和增益損耗項的非線性薛定諤方程以及描述超短光脈沖傳輸的ginzberg - landau方程的解的特性,為進一步實現超高速、大容量的光信息傳輸提供一定的理論依據。The transient mathematical equations are addressed for the coupled heat and moisture transfer by taking account of moisture accumulation procedure. an analytical method by means of the transfer function is proposed to predict the transient distributions of temperature and moisture content at different interfaces in walls. a numerical analysis approach based on an efficient finite - difference method is developed to deal with the procedure of coupled heat and moisture transfer in a multilayer wall with nonlinear boundary conditions considered
建立了考慮濕積累過程的瞬態熱濕耦合模型,在方程中引入了濕積累項;發展了一種傳遞函數解析方法進行墻體內不同剖面處溫度和含濕量的動態預測;首次提出了一種基於有效有限差分法預測非線性邊界條件下多層多孔結構內的傳熱傳濕過程的數值分析方法,求解過程中考慮了瞬態邊界條件,從而避免了通常處理中由於邊界條件設定為常數而給計算帶來的誤差,對于多層結構每一層物性參數的非連續性,則採用了有效的有限差分逼近處理。For a nonlinear system with time - delay, the optimal control problem based on quadratic performance indexes is usually transformed to a nonlinear two - point boundary value problem with not only time - delay terms but also time - advance terms. therefore, this kind of optimal control problem is especially difficult to be solved, no matter exact solutions or numeral solutions
對于帶時滯的非線性控制系統,其基於二次型性能指標的最優控制問題往往轉化為一個既有時間滯后項又有時間超前項的非線性兩點邊值問題,因此解決這一類控制問題尤其困難,不論是求其精確解還是數值解。A nonclustered index contains the nonclustered index key values and each key value entry has a pointer to the data row that contains the key value
非聚集索引包含非聚集索引鍵值,並且每個鍵值項都有指向包含該鍵值的數據行的指針。In general, the upward amplitude curve " curvature is larger, and it changes quicker. on the contrary, the downward is smaller and slower ; because the flare force contains the square of the wave elevation velocity, it results in an difference between the flare force frequence and the associated moving frequence ; the flare force decreases the downward amplitude of heaving oscillations ; the speed of ship has an ignorant effect on the peak values of three calculated values, but there is an obvious effect on the oscillating frequence ; the wave amplitude has an effect on the ship motion, and there is an linear relation between the oscillating amplitude and the wave amplitude on the whole. by the way, there are some experiences and lessons according to the progress calculation : before the calculation of the ship motion, we should checkout the balance in a calm water firstly, namely, the whole displace of ship and the longitudinal position of the center of gravity must be consistent with the draft in calm water, or else, the calculation may show the " floating " phenomenon ; the mixed language programming has a lot of virtues, but it exists a fatal limitation - the debug of dll
研究表明:在某些頻率范圍內相關水動力系數基本不隨吃水變化,只有超過某一頻率后水動力系數的值才會出現差異;在橫搖方向,水動力系數並沒有隨著吃水的變化發生規則變化,而是出現了波動現象;近船首剖面的水動力系數計算表明,水動力系數的波動非常大,並遠遠偏離了平均位置的水動力系數值,值的變化速率也不盡相同,總的看來,上振幅曲線曲率較大,變化較快,下振幅曲線曲率較小,變化較慢;外飄力和波面運動的速度的平方項有關,導致其振動頻率和相應運動方向的頻率不同;外飄力使升沉向下運動的幅值減小;船速對三個計算量的峰值影響甚微,但對振動頻率有明顯影響;波幅對船舶運動的影響是明顯的,船舶運動的幅值基本上和波幅成線性關系。The paper selects the subject entitled " the isoparametric finite - element three - dimension groundwater ( fe3dgw ) model for fracture - karst water resources and numerical simulation in jinan springs zone ", which is one sub - task of items on " exploitation and springs protection of jinan fracture - karst water ( no. 200001 ) " in this paper, the following questions are discussed : first, according to the site survey, and other relative datum, the condition of physical geography, geography and hydrogeology are summarized
本文的研究課題? ?濟南市巖溶地下水數值模擬研究是山東省計委計劃項目「濟南市巖溶地下水開發利用與泉群保護研究( no . 200001 ) 」的子課題。主要研究內容有:第一,在調查和閱讀分析相關資料的基礎上,概要總結和闡述泉群研究區域的自然地理、水文地質條件和地質概況,提出研究區水文地質概念模型,進一步建立濟南泉群研究區非均質各向異性三維非穩定流數學模型,利用等參有限元技術進行數值求解。Numerical experiment shows that this heterogeneous disturbance arising from soil water content ' s spatial variability cannot be neglected when regional mean evaporation fluxis estimated
數值試驗表明,這種因空間變率而引發的非均勻擾動項在估計區域平均通量時具有不可忽視的影響。Numerical simulation is a very important aspect for this research, in which the main task is to solve the system of radiation hydrodynamic equations, especially, we usually do this task using lagrangian coordinates, and in this case the numerical treatment of three - temperature energy equations is a main difficulty
數值模擬是這項研究的非常重要的手段,其核心內容是求解輻射流體力學方程組,而其中三溫能量方程的數值處理又是在lagrange坐標下求解輻射流體力學方程組的主要難點之一。In this paper a numerical method for equations of transport and biodegradation in the fractured media is discussed. because the equations consist of terms related to advection, diffusion, biochemical as well as the term of exchange betwen the fracture and the porous media, it is very difficult to find their solution. in order to find more efficient method for solving these equations, several numerical methods for the equations without biochemical terms are discussed first. the numerical results show that the cubic spline method can be used to solve advection flow dominated problem which often occurred in the fractured media. then, the equation with both advection - diffusion term and biochemical term are discussed. the splitting - operator is used to decouple the advection and diffusion terms with biochemical term in the equations. the way to determine the smaller time step for solving fast biochemical terms is introduced through comparing the order of characteristic time of biochemical term with that advection ( diffusion ) term. numerical simulation results show that good agreement between analytical solution and experiment result is attained
本文討論了含裂隙介質地下水污染物輸運與生物降解非線性方程組數值求解方法.方程含有對流項、擴散項、生長、死亡、吸附、解吸、趨化和孔隙與裂隙介質界面間的交換項的非線性偶合,使演算法十分困難.本文討論了無生化過程時的幾種求解方法,數值結果表明:用三次迎風插值法對常見的對流項占優勢,且場變量有較大梯度的問題較適用.在討論有生化反應過程時,利用對流項與生化反應項的特徵時間量級估算,給出了求生化過程作用子步的時間步長估算辦法.用上述方法所得到的模擬結果與解析解、無化學反應和有化學反應的實測值對比,吻合很好The precision duhamel integration solution for the linearization equation is also given from the theory of linear differential equation. the calculating results show that the new method can improve the calculation precision greatly. in fact, the truncation error is not limited by this method, it can arrive the precision according to the requirement
本文的主要工作有以下幾個方面: ( 1 )由於非線性項的存在,使得多數情況下難以得到非線性動力方程的解析解表達式,目前常使用數值積分方法來求解非線性動力學方程的解,但常規計算方法的計算精度不很理想,本文提出了含taylor展開項中高階余項的非線性動力方程的線性化數值計算方法,構造了瞬態線性化方程,給出了duhamel積分的表達式。It is constructed that radial impact and rubbing dynamics differential equations of the rotor system having the nonlinear rigidity on the unsteady and non - linear oil film. the bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. the bifurcation diagrams, maximum lyapunov exponent diagrams, poincar maps, phase plane portraits, trajectories of journal center, time - history curve, amplitude spectra diagrams of the rotor motion are used
( 2 )建立了具有非線性剛度的轉子系統在非穩態非線性油膜力作用下的徑向碰摩動力學微分方程,並應用含高階余項的非線性動力方程的線性化數值法研究了此類系統響應的復雜動力學行為,利用轉子響應的分岔圖、最大lyapunov指數曲線、 poincar截面映射、時域波形、相軌線、軸心軌跡、幅值譜等圖形分析了系統響應的周期運動、擬周期運動、倍周期分岔、混沌等運動形式的轉化與演變過程,重點研究了非線性剛度、轉子轉速、偏心質量等系統參數對碰摩故障轉子系統的分岔和混沌行為的影響。In the second part, we try to apply orthogonal polynomial approximations to the dynamical response problem of the duffing equation with random parameters under harmonic excitations. we first reduce the random duffing system into its non - linear deterministic equivalent one. then, using numerical method, we study the elementary non - linear phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, period - doubling bifurcation and chaos
本文第二部分嘗試將正交多項式逼近方法應用於隨機duffing系統,提出與之等價的確定性非線性系統的新概念,並用數值方法對該系統在諧和激勵下的鞍結分叉、對稱破裂分叉、倍周期分叉、和混沌等各種基本非線性響應進行了初步探討。At the meantime, the rock mass may alternate between loading and unloading and it exists in certain kind of liquid, such as surface water, unconfined water, confined water etc for its intrinsic crannies. the practical rock mass concerned project must solve the key stability pr oblem after the understanding of the complicated mechanical characteristic and the deformation trends to guide the following project design and construction for the demand of security, economy, feasibility and validity. however, the intrinsic nonlinearness and complexity of the engineering rock mass become the main difficulty to predict the stability and deformation, the corresponding structure design must ensure enough safety with all the determinate or random force combination, so a model without the geometry distortion and constitutive equation warp is necessary to be built for the quantificational analysis of practical structure ' s stress, for the simulation of the real process and for the determinate evaluation system and optimization
由於實際工程巖體其固有的非線性和復雜性,使得求解對應的諸如其穩定性、變形等問題面臨較大的困難,而有關的工程結構的設計必須保證該結構在外來因素的作用下具有足夠的安全度、經濟性和合理性,這必然要求對巖體及其工程結構的受力與變形有一套量化評判體系和優化技術,抓住實際工程問題的本質特徵並建立可行的符合幾何模擬、本構模擬、受力模擬、過程模擬四原則的求解模型,通過該模型的數值模擬成果來指導巖體工程的設計、施工及運營、管理;而巖體結構面的存在使得基於傳統連續介質力學理論的理論分析和數值模擬面臨巨大的挑戰,物理模擬的試驗周期和成本也大大增加,而巖土體工程問題則成為典型的數據有限、了解程度有限類問題,這類問題的解決需要綜合應用理論分析、經驗判斷、物理模擬和數值模擬等方法,數值模擬可以完成目前許多技術手段無法完成的實驗,如參數控制,復雜條件下的邊界條件的處理,同時數值模擬具有高可重復性,且數值模擬的成本和人力開銷等遠低於物理模擬,因此研究巖土體工程問題的流形元數值模擬方法是一項具有理論和實際工程應用價值的重要課題。分享友人