有限維運算元 的英文怎麼說
中文拼音 [yǒuxiànwéiyùnsuànyuán]
有限維運算元
英文
finite dimensional operator- 有 : 有副詞[書面語] (表示整數之外再加零數): 30 有 5 thirty-five; 10 有 5年 fifteen years
- 限 : Ⅰ名詞(指定的范圍; 限度) limit; bounds Ⅱ動詞(指定范圍, 不許超過) set a limit; limit; restrict
- 維 : Ⅰ動詞1 (連接) tie up; hold together; link 2 (保持; 保全) maintain; safeguard; preserve; keep ...
- 運 : Ⅰ動詞1 (物體位置不斷變化) move; revolve 2 (搬運; 運輸) carry; transport 3 (運用) use; wield...
- 算 : Ⅰ動詞1 (計算數目) calculate; reckon; compute; figure 2 (計算進去) include; count 3 (謀劃;計...
- 有限 : limited; restricted; finite; a little; not much
- 運算 : [數學] operation; arithmetic; operating
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The temperature effect which has been calculated is taken as " thermal load " forced on the body, then such thermal stress is settled as general elasticity mechanics question ; secondly, the thermal stress is taken as " surface force " forced on the body, and the new system stiffness is formed which include the extra stiffness matrix, then it changes the nature frequency of the structure
首先,這篇論文介紹溫度場和熱應力場的有限元方法,建立了三維熱傳導模型計算有溫度場產生的熱應力,計算熱應力時運用了一種轉化思維:將溫度處理為「溫度載荷」 ,這樣就能用彈性力學問題的處理方法來求解熱應力。其次,將熱應力作為結構的「面內力」 ,而面內力產生附加的幾何剛度矩陣,改變了結構的剛度,影響了結構的固有頻率。A 3 - d simulative calculation program concerning temperature field and creep stress field and its pre - processing and post - processing has been developed. by applying this program, temperature field and creep stress field of hydraulic culvert and sluice engineer concrete is simulated. 2
開發了非穩定溫度場和應力模擬計算的三維有限元計算程序及有限單元法的前後處理程序,運用此程序對水工涵閘工程混凝土進行了溫度場和應力場的計算分析,得出相關結論。The results showed that : ( 1 ) the models used by author and the analysis are useful and can be practiced. ( 2 ) after using isolation technology, the structure ' s period, earthquake response, base shear force and acceleration are all decreased markedly and the horizontal displacement focuses on isolation layer. ( 3 ) under frequent earthquake action, the shear force ratio between layers is close to 0. 35 ; in according with the provision in aseismic design code that the horizontal seismic reduction coefficient can choose 0. 53 and the upper building can be designed by decreasing one degree
計算模型分別採用三維空間模型及規范中建議的彈簧、質量模型,隔震層採用疊層橡膠隔震支座,運用大型結構有限元計算程序sap2000以及自主開發的nba結構程序計算隔震結構在多維地震動輸入下的動力非線性時程反應,同時研究了隔震結構在溫度變化的作用下,結構各桿件的內力變化,通過對變電建築物在傳統抗震作用下及隔震作用下的分析比較,得出一些有益的結論。Reliability assessment of xi - luo - du underground water - power plant : the results have been used by the cheng - du surveying, design and research institute for the preliminary design ; ( 2 ) the stress and strain analysis for the xiao - guan - zi sluice and its foundation : the report has been applied for the reinforcement of the foundation ; ( 3 ) the thermal control procedure for the no. 7 - 14 power plant dam segments of the three gorge project : the research report provides the effective and efficient methods for the controlling of the temperature field in the mass concrete structure ; ( 4 ) the software system development for the long - term monitoring for dikes : the software can automatically give the results of the seepage field and the probability of soil piping of dikes and underground ; ( 5 ) reliability assessment of xiang - jia - ba underground water - power plant : the results have been used by the zhong - nan surveying, design and research institute for the preliminary design ; ( 6 ) fatigue reliability estimation of shipping berthing pillar : the results give the optimized design scheme and prediction of the structural age ; ( 7 ) 3 - d static and dynamic stochastic finite element analysis for the strength, stability and thermal control problem for xi - luo - du project
溪洛渡水電站超大型地下洞室群圍巖穩定的安全可靠性分析:被成都勘測設計研究院應用於比選報告及可行性論證中; ( 2 )小關子水電站攔河閘壩及地基的應力應變分析:被成都勘測設計研究院應用於地基加固處理方案; ( 3 )三峽廠房7 # - 14 #壩段溫控並縫措施研究:為廠房壩段並縫方案的可行性提供了依據; ( 4 )堤防工程體系的長期監控預報預警決策系統開發:為監控、預測預報堤防滲漏管涌破壞提供分析軟體; ( 5 )向家壩地下洞室群圍巖穩定的安全可靠性分析:被中南勘測設計研究院應用於初步設計方案中; ( 6 )靠船墩的疲勞可靠度研究:為廣東航運規劃設計院的靠船墩優化設計和加固提供依據; ( 7 )溪洛渡高拱壩壩體壩基(壩肩)強度和穩定的三維靜動力隨機有限元分析及可靠度計算:為溪洛渡重大工程壩體的靜動力安全穩定性及溫控方案提供依據。During the 3d finite element calculation, try to simulate different procedure of the construction ( like sunk well in - filling, main cable erection, box girder hoist, bridge flooring and opening to traffic ). and then, reveal the regulation of deformation and displacement on the foundation and soil during different period. after got these, this thesis put great attention on the analysis of the reason which cause the horizontal displacement of the cable saddle, as well as the regulation of the pressure ' s changing in the soil located on the front side of the sunk well foundation
在三維有限元計算中,對不同工況(沉井充填、錨體澆築、主纜架設、箱梁吊裝、橋面鋪裝以及通車運營)下的施工過程作了模擬,全面揭示了各工況下錨碇沉井基礎與地基土的變形變位規律,著重分析了影響散索鞍水平位移的因素以及不同工況下沉井前測地基土水平向抗力變化規律,並提出了不同深度地基土水平向抗力與水平位移間的擬合關系。The primary of linear induction motor which drives the metro is installed on the chassis bogie, and because it is quite strict with laying down railway rail to use flat linear induction motor to drive metro, its secondary - - - - reaction board ( called induction board ), which is a kind of compound board of aluminum and steel, is fixed on the rail sleeper between the track. it is the airgap which is a gap between the primary and secondary of lim. the electromagnetic airgap is a very important parameter of lim
利用有限元法對直線感應電動機二維非線性渦流場進行了數值計算,並在此基礎上,運用電磁場有限元分析的專用軟體ansoftmaxwell2d對單邊型直線感應電動機的瞬態特性進行了模擬分析,得到電機運行過程中的電磁推力、法向力、初級電流、氣隙磁密等曲線,通過改變直線電機參數,分析了電機氣隙對其瞬態性能的影響。Measured results from in - site loading tests in tannin harbor and from in - door model tests were compared with predictions from the limit equilibrium methods. a method of estimating the bearing capacity for inhomogeneous medium was suggested to meet every case ; 4. according to the results from model tests, the elastoplastic fem were performed to study the procession of the change of the stress and strain in inhomogeneous medium and to simulate the procession of the forming of the failure surface during loading, and the failure mechanism was studied ; 5
4 、結合模型試驗結果,確定出了符合非均質介質規律的彈塑性模式,在此基礎上分別運用二維、三維彈塑性有限元程序,模擬出了外荷載作用過程中非均質介質內部應力、變形以及破壞面的發展過程,分析得出了非均質介質地基的破壞機理; 5 、在港口工程地基設計當中,已經引入了可靠度理論計算分析基礎穩定性。Program : to present new research results in the representation theory of finite and infinite dimensional algebras, lie algebras, algebraic groups, quantum groups, superalgebras, vertex operator algebras, and related applications to other fields of mathematics and physics
會議內容:這次會議將交流我國及世界其它國家在以下領域中的最新研究成果:有限維及無限維結合代數的表示理論;李群,李代數,代數群,有限群,以及量子群的表示理論;頂點運算元代數及其表示理論;與以上表示理論有關的數學物理及量子場論Russell ( [ 17 ] ) has showed that, a compact perturbation, generated from unitary operator groups in infinite - dimensional linear hilbert spaces, is unable to make the perturbed semigroup exponentially stable
Russell ( [ 17 ] )曾指出,無限維hilbert空間中的酉運算元群對生成的緊擾動不能使被擾動半群具有指數穩定性。In this paper, a " step - by - step " recursive 3 - d frequency - space wed scheme is presented to deal with real data
本文採用三維頻率空間域有限差分波場延拓運算元以「逐步累加」的方式實現了三維波動方程基準面校正,並對實際數據進行了處理。In this article, according to three - dimension finite element theory and heat conduction theory, the computation program of simulating thermal stress field of rcc arch dam during construction and service is researched and developed
本文採用三維有限元法和熱傳導理論,研究開發了碾壓混凝土拱壩施工期和運行期溫度應力場全過程的模擬計算程序。In addition, the paper will analyze the existence condition for nonwandering semigroup by the methods of topological dynamical system. from the mature results of finite dimensional space, such as the topological mixing, we discuss any other methods to solve the problems of infinite dimensional space, so as to provide the similar methods for the similar work
另一方面,本文將結合微分動力系統和拓撲動力系統的研究方法,主要從微分動力系統的角度,從根本上分析非游蕩運算元半群存在的條件,並結合與此密切相關的有限維空間的一些成熟的理論,如拓撲動力系統中的拓撲混合性等,從不同角度試圖解決無窮維空間的結論。Vertex operator algebra associated with nondegenerate solvable lie algebras
有限維非退化可解李代數的頂點運算元代數Let h be an infinite dimensional complex hilbert space, b ( h ] the banach algebra of all bounded linear operators on h, and s ( h ) the space of all symmetric operators on h. let l be a real linear, weakly continuous rank one preserver of s ( h )
設h是無限維復的hilbert空間, b ( h )為h上的有界線性運算元全體組成的banach代數, s ( h )為h上的對稱運算元全體The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces. the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional euclidean spaces. the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space
?引入了集值映射的-預解運算元概念;藉助于偏序理論證明了有限維歐氏空間中的單值映射可同秩lipschitz連續拓展;討論了有限維歐氏空間中的極大-單調集值映射的-預解運算元在什麼條件下是整個空間上的一個lipschitz連續的單值映射,這一結果也在有限維空間上解決了上面提到的公開問題;還討論了真泛函的-次微分映射的-預解運算元在什麼條件下是整個空間上的一個lipsehitz連續的單值映射。One is, based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping. two is to consider the convexity, closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions
研究分有三個方面:一是藉助于偏序理論在有限維歐氏空間中解決了上述公開問題,在此基礎上利用集值映射的-預解運算元,研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性,並提出了一類變參數三步迭代演算法;二是藉助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性;三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性並提出了一類求解廣義集值變分包含問題的直接變參數三步迭代演算法。On the finite - dimensional optimal approximations to the infinite - dimensional linear operators
關于無窮維運算元的有限維最佳逼近In capter 2, it is proved that the system possesses a global attractor and a two - side estimate for the fractal dimension of it is presented. in capter 3, several different approximate intertial manifolds of the system are constructed by applying linear galerkin method, method of projecting operator and operator eigenvalue and successive iterative method, and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the global attractor after large time. capter 4 studies the asymptotic attractor of the system by constructing a solution sequence which approaches to the global attractor of the equation in long time, and the dimentional estimate of the asymptotic attractor is given
第二章證明了該系統的整體吸引子的存在性,給出了其分形維數的上下界;第三章利用線性galerkin方法、運算元投射和運算元特徵值方法及逐次迭代方法構造了幾類近似慣性流形,證明了該方程的任意解軌道在長時間后進入整體吸引子的任意小鄰域;第四章構造了一個有限維解序列即該系統的漸近吸引子,證明了它在長時間后無限趨于方程的整體吸引子,並給出了漸近吸引子的維數估計The existence conditions of unique solutions are discussed by using - reslovent operators for set - valued mixed quasi - variational - like inequality and generalized set - valued variational inclusion problems on finite dimensional euclidean spaces ; respectively. the problem that under what conditions the solution set is nonempty ( not necessarily unique solution ) is
?利用-預解運算元在有限維空間中探討了集值混合擬類變分不等式問題和廣義集值變分包含問題存在唯一解的條件;利用分析的方法在實hilbert空間中討論了集值混合擬類變分不等式問題解集的非空性(不一定只有唯一解) 。The related problem of how to construct the finite dimensional approximation of the integral operator by using radial basis functions, formulate the discrete euler ' s equation with its trigonaliza - tion, fastly realize the rules of selecting the regularization parameter are discussed
文中討論了利用徑向基函數作積分運算元的有限維逼近,離散euler方程的形成及其三對角化,以及在此形式下的各種選擇正則參數準則的快速實現等問題。分享友人