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91.
Bifurcation and universal unfolding for a rotating shaft with unsymmetrical stiffness 总被引:1,自引:0,他引:1
The 1/2 subharmonic resonance bifurcation and universal unfolding are studied for a rotating shaft with unsymmetrical stiffness.
The bifurcation behavior of the response amplitude with respect to the detuning parameter was studied for this class of problems
by Xiao et al. Obviously, it is highly important to research the bifurcation behavior of the response amplitude with respect
to the unsymmetry of stiffness for this problem. Here, by means of the singularity theory, the bifurcation and universal unfolding
of amplitude with respect to the unsymmetrical stiffness parameter are discussed. The results indicate that it is a high codimensional
bifurcation problem with codimension 5, and the universal unfolding is given. From the mechanical background, we study four
forms of two parameter unfoldings contained in the universal unfolding. The transition sets in the parameter plane and the
bifurcation diagrams are plotted. The results obtained in this paper show rich bifurcation phenomena and provide some guidance
for the analysis and design of dynamic buckling experiments of this class of system, especially, for the choice of system
parameters.
The project supported by the National Natural Science Foundation of China (19990510), the National Key Basic Research Special
Foundation (G1998020316) and Liuhui Center for Applied Mathematics, Nankai University and Tianjin University 相似文献
92.
The contact interaction of an elastic punch of arbitrary cross-section and an elastic semi-space with initial (residual) stresses
is studied. A general method to solve the problem is proposed. It allows solving contact problems for bodies with initial
(residual) stresses when the solution of the corresponding elastic problem is known
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 12, pp. 28–40, December 2007. 相似文献
93.
车载捷联惯导系统静止条件下的初始对准方法研究 总被引:4,自引:2,他引:4
根据捷联惯导系统(SINS)的误差模型,从提高初始对准中卡尔曼滤波估计的可观测性和可观测度的角度出发,提出了同时利用加速度表的输出和速度误差量这两种信息作为卡尔曼滤波的测量量,对陆地车辆捷联惯导系统在静止条件下进行初始对准。可观测性定性分析、可观测度定量计算和仿真结果都表明,充分利用外部可观测信息,可以提高系统的可观测性和可观测度,加快初始对准的速度,减小估计误差。该方法已经在实际的SINS中得到应用。 相似文献
94.
层板复合材料的疲劳剩余刚度统计分布模型 总被引:4,自引:0,他引:4
在分析现有关于层板复合材料疲劳剩余刚度衰退模型的基础上,根据层板复合材料在疲劳载荷作用下刚度衰退变化的现象,研究了疲劳载荷对层板复合材料刚度衰退的影响,建立了一个新的、更为合理的用于描述层板复合材料在常幅疲劳载荷作用下的刚度衰退模型,导出了剩余刚度统计分布的表达式,给出了确定模型参数的方法。为验证该模型,设计了几组测试实验,并利用试验结果对模型参数进行了估计。利用该统计分布模型,可以预报层板复合材料在给定应力水平的疲劳载荷作用下循环指定周次时剩余刚度的统计分布。实验数据表明,理论预报和实验结果符合得是很好的。 相似文献
95.
S. V. Matnyak 《International Applied Mechanics》2003,39(3):318-323
An asymmetric quasistationary problem for a prestressed half-plane with harmonic and Bartenev–Khazanovich potentials is solved based of the linearized theory of elasticity. The Mehler–Fock integral transform is used to solve the differential equations that describe the stress–strain state of the half-plane. The dependences of the normal and tangential stresses and stress intensity factors on the elongation are plotted 相似文献
96.
97.
针对目前多档输电线动力特性研究中存在的不足,将任意一档导线视为子结构并基于现有的索振动理论获得了其动张力;利用相邻两档导线的动张力建立了悬垂绝缘子串绕其悬挂点摆动的动力学方程;综合每一档导线的振动方程以及悬垂绝缘子串的摆动方程建立了两档及三档输电线的动力学方程,求解得到由端部位移激励产生的动刚度;通过对动刚度进行分析得到了多档输电线的固有频率以及模态的理论表达形式;建立了小高差的两档及三档导线的有限元模型,理论分析结果与有限元结果一致,验证了理论公式的正确性。本文提出的动刚度理论对于研究多档输电线的动态响应具有重要的应用价值。 相似文献
98.
Dr. Jin Lu Hesam Mazidi Tianben Ding Oumeng Zhang Prof. Matthew D. Lew 《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2020,132(40):17725-17732
In soft matter, thermal energy causes molecules to continuously translate and rotate, even in crowded environments, thereby impacting the spatial organization and function of most molecular assemblies, such as lipid membranes. Directly measuring the orientation and spatial organization of large collections (>3000 molecules μm−2) of single molecules with nanoscale resolution remains elusive. In this paper, we utilize SMOLM, single-molecule orientation localization microscopy, to directly measure the orientation spectra (3D orientation plus “wobble”) of lipophilic probes transiently bound to lipid membranes, revealing that Nile red's (NR) orientation spectra are extremely sensitive to membrane chemical composition. SMOLM images resolve nanodomains and enzyme-induced compositional heterogeneity within membranes, where NR within liquid-ordered vs. liquid-disordered domains shows a ≈4° difference in polar angle and a ≈0.3π sr difference in wobble angle. As a new type of imaging spectroscopy, SMOLM exposes the organizational and functional dynamics of lipid-lipid, lipid-protein, and lipid-dye interactions with single-molecule, nanoscale resolution. 相似文献
99.
A. E. ABOUELREGAL 《应用数学和力学(英文版)》2020,41(12):1805-1820
The bending of the Euler-Bernoulli micro-beam has been extensively modeled based on the modified couple stress (MCS) theory. Although many models have been incorporated into the literature, there is still room for introducing an improved model in this context. In this work, we investigate the thermoelastic vibration of a micro-beam exposed to a varying temperature due to the application of the initial stress employing the MCS theory and generalized thermoelasticity. The MCS theory is used to investigate the material length scale effects. Using the Laplace transform, the temperature, deflection, displacement, flexure moment, and stress field variables of the micro-beam are derived. The effects of the temperature pulse and couple stress on the field distributions of the micro-beam are obtained numerically and graphically introduced. The numerical results indicate that the temperature pulse and couple stress have a significant effect on all field variables. 相似文献
100.
Synthesis and characterization of double hydrophilic block copolymers containing semi-rigid and flexible segments 下载免费PDF全文
Alice M. Savage Elizabeth Ullrich Stacey M. Chin Zachary Kiernan Caitlyn Kost S. Richard Turner 《Journal of polymer science. Part A, Polymer chemistry》2015,53(2):219-227
3-Methyl-(E)-stilbene (3MSti) and 4-(diethylamino)-(E)-stilbene (DEASti) monomers are synthesized and polymerized separately with maleic anhydride (MAn) in a strictly alternating fashion using reversible addition-fragmentation chain transfer (RAFT) polymerization techniques. The optimal RAFT chain transfer agents (CTAs) for each copolymerization affect the reaction kinetics and CTA compatibilities. Psuedo-first order polymerization kinetics are demonstrated for the synthesis of poly((3-methyl-(E)-stilbene)-alt-maleic anhydride) (3MSti-alt-MAn) with a thiocarbonylthio CTA (methyl 2-(dodecylthiocarbonothioylthio)−2-methylpropionate, TTCMe). In contrast, a dithioester CTA (cumyl dithiobenzoate, CDB) controls the synthesis of poly((4-(diethylamino)-(E)-stilbene)-alt-maleic anhydride) (DEASti-alt-MAn) with pseudo-first order polymerization kinetics. DEASti-alt-MAn is chain extended with 4-acryloylmorpholine (ACMO) to synthesize diblock copolymers and subsequently converted to a double hydrophilic polyampholyte block copolymers (poly((4-(diethylamino)-(E)-stilbene)-alt-maleic acid))-b-acryloylmorpholine) (DEASti-alt-MA)-b-ACMO) via acid hydrolysis. The isoelectric point and dissociation behavior of these maleic acid-containing copolymers are determined using ζ-potential and acid–base titrations, respectively. © 2014 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2015 , 53, 219–227 相似文献