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21.
离心场中纵向悬臂梁的大范围分岔分析 总被引:2,自引:0,他引:2
采用打靶法研究了离心场中纵向悬臂梁的大范围失稳与分岔问题。分析结果证实:随着参数a(离心臂长与梁长之比)的变化,梁平衡解可能发生三种分岔现象。文中给出了平衡解的分岔形态,并发现了梁分岔解的单向跳跃现象,即突变现象。 相似文献
22.
23.
This paper is concerned with nonlinear issues in economic development. We suggest a model of dynamic interdependence of economic development, openness and human capital accumulation. The model provides some insights into complex of modernization of mainland China. We show conditions under which the dynamic system exhibits multiple equilibria, limit cycles or catastrophes. 相似文献
24.
The effect of the type of springs on the equilibrium states of an inverted pendulum is examined. The angular and linear eccentricities
of the follower force are taken into account
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 6, pp. 126–137, June 2007. 相似文献
25.
The cavitated bifurcation problem in a solid sphere composed of two compressible hyper-elastic materials is examined. The
bifurcation solution for the composed sphere under a uniform radial tensile boundary dead-load is obtained. The bifurcation
curves and the stress contributions subsequent to the cavitation are given. The right and left bifurcation as well as the
catastrophe and concentration of stresses are analyzed. The stability of solutions is discussed through an energy comparison.
Project supported by the National Natural Science Foundation of China (No. 19802012). 相似文献
26.
Motivated by optimization problems in structural engineering, we study the critical points of symmetric, ‘reflected', one-parameter
family of potentials U(p, x) = max (f(p,x), f(p, −x)), yielding modest generalizations of classical bifurcations, predicted by elementary catastrophe theory. One such generalization
is the ‘five-branch pitchfork’, where the symmetric optimum persists beyond the critical parameter value. Our theory may help
to explain why symmetrical structures are often optimal. 相似文献
27.
基于尖点突变的性质,对修改后的Logistic模型进行变换,并将其化为具有尖点突变的标准模型.利用微分方程定性理论,对模型进行分析,并根据突变理论,给出突变发生的条件.最后利用仿真验证结论的正确性. 相似文献
28.
L. U. Ancarani K. V. Rodriguez G. Gasaneo 《International journal of quantum chemistry》2011,111(15):4255-4265
n1,3S (n = 1 ? 4) states for atomic three‐body systems are studied with the Angular Correlated Configuration Interaction method. A recently proposed angularly correlated basis set is used to construct, simultaneously and with a single diagonalization, ground and excited states wave functions which: (i) satisfy exactly Kato cusp conditions at the two‐body coalescence points; (ii) involve only linear parameters; (iii) show a fast convergency rate for the energy; and (iv) form an orthogonal set. The efficiency of the method is illustrated by the study a variety of three‐body atomic systems [m m m] with two negatively charged light particles, with diverse masses m and m, and a heavy positively charged nucleus m. The calculated ground 11S and excited n1,3S (n = 2 ? 4) state energies are compared with those given in the literature, when available. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2011 相似文献
29.
浮心相当于浮体的支承点,其位置随物体的姿态而变化;物体稳定平衡时重心与浮心的距离达到极小。圆柱浮体有2~5个平衡位置,其中相间的1~2个稳定,其姿态与比重和长径比相关,在系统参数变化时可能突变。 相似文献
30.