[外文翻譯]空間鋼結(jié)構(gòu)的非線(xiàn)性分析/NONLINEAR ANALYSIS OF STEEL SPACE STRUCTURES
內(nèi)包含中文翻譯和英文原文，內(nèi)容完善，建議下載閱覽。

①中文頁(yè)數(shù)6

中文字?jǐn)?shù)2505

②英文頁(yè)數(shù)7

英文字?jǐn)?shù)1556

③ 摘要
隨著二階非線(xiàn)性分析大跨空間結(jié)構(gòu)理念的提出，對(duì)兩種類(lèi)型的非線(xiàn)性、材料和幾何分析中，幾何非線(xiàn)性已被考慮，非線(xiàn)性分析才能被認(rèn)可。同時(shí)需要假設(shè)鋼結(jié)構(gòu)的材料為線(xiàn)彈性。在幾何非線(xiàn)性的影響下，所產(chǎn)生不穩(wěn)定的軸向力、彎曲變形產(chǎn)生的彎矩,以及有限制的偏移量均包括在內(nèi)。為了達(dá)到這個(gè)目的，制定剛度矩陣修正后的變形狀態(tài)和動(dòng)態(tài)矩陣與幾何矩陣所需的切線(xiàn)剛度矩陣，這樣才能更好的去分析。在這些矩陣中使用分析方法，,通過(guò)牛頓迭代法進(jìn)行位移法來(lái)實(shí)現(xiàn)。在迭代過(guò)程中,考慮幾何變化是重復(fù),直到最后結(jié)果的變化已經(jīng)微乎其微，可以看作是達(dá)到了平衡，這樣做的誤差很小，能滿(mǎn)足要求。通過(guò)這樣的方程進(jìn)行求解的方法是實(shí)用的。與此同時(shí)，平衡方程求解Cholesky的方法就是在這種結(jié)論的基礎(chǔ)上給出的，從而進(jìn)一步說(shuō)明了這種分析方法的可行性。

A second-order nonlinear analysis of steel space structures has been presented. Of the two types of nonlinearities, material and geometric, only geo-metric nonlinearity has been considered. The material of the structure steel has been assumed to be linearly elastic. In geometric nonlinearity, the effects of instability produced by axial forces, the bowing of the deformed members, and finite deflections have all been included. For this purpose, the secant stiffness matrix in the deformed state and the modified kinematic matrices along with the geometric matrix necessary for formulating the tangent stiffness matrix, have been developed. These matrices are used in the analysis, which is carried out by the displacement method through an iterative-incremental procedure based on Newton-Raphson technique. The iterations that take into account the latest geometry are repeated until the unbalanced loads become negligible and equilibrium is obtained. The equilibrium equations are solved by Cholesky's method. Results of an illustrative example and conclusion based on them are also given.

④關(guān)鍵字 鋼結(jié)構(gòu)/STEEL SPACE STRU


⑥參考文獻(xiàn)
Gere, J. M., and Weaver, W., Jr. (1965). Analysis of plane frames. D. Van Nostrand Company, Princeton, N.J.

Harrison, H. B. (1973). "Computer methods in structural analysis." Prentice-Hall Inc., Englewood Cliffs, NJ.

Johnson, D., and Brotten, D. M. (1966). "A finite deflection analysis for space structures." Proc. Int. Conf. on Space Structures, Dept. of Civ. Engrg., Univ. of Surrey, Surrey, England.

Majid, K. I. Non-linear structures (matrix methods of analysis and design by computers). Butterworth Co. Ltd., London, England.

Oran, C. (1973). "Tangent stiffness in space frames." J. Struct. Div., ASCE, 99(6), 987-1002.

Powell, G. H. (1969). "Theory of non-linear elastic structures." J. Struct. Div., ASCE, 95(12), 2687-2701.

Ramchandra. (1981). "Non-linear elastic-plastic analysis of skeletal steel structures," thesis presented to the University of Roorkee, at Roorkee, India, in partial ful-fillment of the requirements for the degree of Doctor of Philosophy.

Saafan, S. A. (1963). "Non-linear behaviour of structural plane frames." J. Struct. Div., ASCE, 89(4), 557-579.