Abstract : in this paper , a method of identifying physical parameters of surrounding rock of underground caverns in stratified layers is presented , based on expansion of small parameters . a feasible numerical algorithm is proposed to obtain mechanical parameters of surrounding rock bodies by measured displacements 文摘:根據(jù)小參數(shù)展開理論,提出了一種識(shí)別層狀地層中地下洞室圍巖物性參數(shù)的方法,為利用測(cè)量位移獲得圍巖巖體的力學(xué)參數(shù)提供了一種可行的數(shù)值算法。
This ph . d . thesis - firstly considers the real asymmetric , real symmetric , bisym - metric , and symmetric and skew antisymmetric matrix extension problems constrained by the matrix inverse problem ax = b . and also considers , in the solution set , of the corresponding matrix extension problems , the optimal approximation solution to a given matrix a * . the necessary and sufficient conditions for the existence of and the expressions for the above problems are derived , and the numerical algorithm and examples to solve the problems are also given 首次提出并討論了矩陣反問(wèn)題ax = b約束下實(shí)矩陣、實(shí)對(duì)稱矩陣、雙對(duì)稱矩陣和對(duì)稱次反對(duì)稱矩陣的擴(kuò)充問(wèn)題,討論了在其解集合中與給定矩陣a ~ *的最佳逼近問(wèn)題,得到了問(wèn)題的解存在的條件及通式的表示,給出求解問(wèn)題的數(shù)值算法和數(shù)值例子。
First , in virtual of identification of flaws is a typical of in - verse problems , proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation , the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given . second , the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon . finally , indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects , meanwhile , the proof of possibility for near - field measurements and nu - merical simulation are given 由于缺陷的識(shí)別是一類典型的反問(wèn)題,因而首先從時(shí)諧電磁maxwell方程和helmholz方程出發(fā),具體地闡述了求解正散射問(wèn)題的有關(guān)方法,包括各種(夾雜)邊界條件下的數(shù)值解法,就解的存在性唯一性給予了肯定的回答;隨后對(duì)逆散射問(wèn)題的理論作了簡(jiǎn)短的回顧,包括解的唯一性以及非線性不適定積分方程的處理等;然后對(duì)均勻介質(zhì)和非均勻介質(zhì)的逆散射問(wèn)題建立了在各種邊界條件下的邊界識(shí)別的指示函數(shù)方法,鑒于近場(chǎng)數(shù)據(jù)獲得的重要性,對(duì)近場(chǎng)測(cè)試時(shí)邊界識(shí)別的方法給予了相應(yīng)的證明,并且實(shí)現(xiàn)了數(shù)值模擬。
The finite element analysis method based on contact problem is a numerical algorithm used for solving contact problem of connection interface , which is developed from the general fem . this method is a combination of elasticity theory and fem , also it is an important aspect of computational structure mechanics 考慮接觸問(wèn)題的有限元分析法是在傳統(tǒng)的有限元法基礎(chǔ)上發(fā)展起來(lái)的處理連接面接觸問(wèn)題的一種數(shù)值計(jì)算方法,它是彈性力學(xué)基礎(chǔ)理論與有限元方法相結(jié)合的產(chǎn)物,是計(jì)算結(jié)構(gòu)力學(xué)的一個(gè)重要分支。
The numerical algorithm of solving the adjoint equations for different design cases have been developed by using finite volume methodology which is usually used to solve the flow governed equation . it includes the some important aspects , such as flux formulation , wall and far - field boundary treatment methodology , dissipative term formulation , etc . after the solution of the adjoint equations is obtained , the derivatives of the cost function with respect to all the design variables can be evaluated with the same operation . this can yields a significant saving over the other gradient - based techniques when there are many design variables ( 3 )進(jìn)行了應(yīng)用控制理論和三維歐拉方程的機(jī)翼氣動(dòng)反設(shè)計(jì)研究,以及有升力約束情形下機(jī)翼跨音速減阻問(wèn)題研究,分別推導(dǎo)了相應(yīng)的共軛方程及邊界條件數(shù)學(xué)表達(dá)形式,研究與發(fā)展了三維共軛方程的有限體積數(shù)值求解方法,及相應(yīng)梯度公式的數(shù)值求解方法,通過(guò)對(duì)計(jì)算網(wǎng)格生成、流場(chǎng)計(jì)算、共軛方程數(shù)值求解、梯度求解和優(yōu)化算法等多方面的有效結(jié)合,成功發(fā)展了三維機(jī)翼的氣動(dòng)反設(shè)計(jì)和跨音速減阻優(yōu)化設(shè)計(jì)程序,成功地進(jìn)行了多個(gè)設(shè)計(jì)算例研究。
Furthermore , numerical algorithms used to solve the linear system are introduced . next , after briefly discussing several causes of the late - time instability of the tdie solvers , a novel viewpoint about the instability is proposed . the marching - on - in - time algorithm ( mot ) is described and some temporal bases are discussed 其次,在簡(jiǎn)要分析了引起時(shí)域積分方程( tdie )時(shí)間步進(jìn)算法求解的后時(shí)不穩(wěn)定性問(wèn)題的幾個(gè)原因后,指出引起時(shí)域積分方程時(shí)間步進(jìn)算法的后時(shí)不穩(wěn)定性的主要原因是離散tdie時(shí)采用了不精確的數(shù)值計(jì)算方法和不恰當(dāng)?shù)慕啤?
In order to improve the transmission efficiency of the signal and decrease the load of signal acquisition , this thesis reconfigures signals using the computer technology and numerical algorithm , supplies the standard to estimate whether the reconfiguration signals are fuzzy , and confirms better sample frequency . in order to store the feature information and the standard data , this thesis designs a suite of rules to establish the reusable and extensible standard database based on the types of loaders . at last , based on the work above , the system of processing standard information has been developed to analyze and process the signal data and manage the standard database 本文以廣西柳工zl50g型裝載機(jī)為對(duì)象,在大量分析和實(shí)驗(yàn)的基礎(chǔ)上,選取了故障診斷的敏感信號(hào)變量,設(shè)計(jì)了基于各變量特性的特征值提取算法,提取了信號(hào)的時(shí)頻特征信息;為了提高信息的傳輸效率和降低信號(hào)采集負(fù)載,利用計(jì)算機(jī)技術(shù)并結(jié)合數(shù)值算法對(duì)信號(hào)進(jìn)行重構(gòu),并給出重構(gòu)信號(hào)是否失真的判定方法,確定了適用于本課題的較優(yōu)采樣頻率;為存儲(chǔ)裝載機(jī)的標(biāo)準(zhǔn)數(shù)據(jù)和特征信息,制定了一套規(guī)則,建立基于機(jī)型的可復(fù)用、可擴(kuò)展的標(biāo)準(zhǔn)數(shù)據(jù)庫(kù);最后圍繞以上對(duì)數(shù)據(jù)的分析、處理以及對(duì)標(biāo)準(zhǔn)數(shù)據(jù)庫(kù)的管理,開發(fā)了裝載機(jī)標(biāo)準(zhǔn)信息處理系統(tǒng)。