Post-bucking of angle-ply laminated plates under thermal loading

Notionsa. b, h Plate dimensionsL', [-. [1- mid-plane displacement componentsu- v- Ic dboensionless mid-plane displacement componentsVy., ac'~ slOPeS in xo and gi plane, ropectivelyJll, N number of terms in Cheby-shev series in x and y directions, respectivelyCCCC all edges clampedSSSS all edges simply supportedCCCS three edges (x = fi and y = 1) clamped and one (y = --1) simply supportedCCSS two edges (x = 11) clamped and two (y = fi) simply supportedCSSS one edge (x = --1) clamped …     

Quadratic nonlinear torsional hyperelastic waves in isotropic cylinders: Primary analysis of evolution

Nonlinear torsional waves propagating along an infinite isotropic cylinder are considered. The hyperelasticity of the cylinder is described by the Murnaghan potential. An approximate analytical solution of the problem is obtained. The evolution of the initial waveprofile in cylinders made of composite materials reinforced with microscale particles is simulated numerically. It is shown that the approximation used to describe the variation in the amplitude inward the cylinder is quite accurate. Three-dimensional plots of evolution are presented __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 3, pp. 75–85, March 2008.     

冷变形和时效温度对扭振时恒弹性合金f_s-T曲线的影响

本文探讨Fe-Ni-Cr-Ti合金在冷变形和时效状态中两种振动模式(扭振和横振)中的f(共振频率)-T(温度)曲线,以及冷变形压下量和时效温度对扭振模式中f_s(扭振共振频率)-T曲线的影响,指出:在冷变形状态的两种振动模式中,其f-T曲线相似但不重合;时效状态时扭振模式中的f_s-T曲线极大值与横振模式中的f_l(横振共振频率)-T曲线极小值所对应的温度移至室温附近,同一材料,随着时效温度升高,在扭振模式下其频率温度系数由正变负,在横振模式下由负变正,扭振模式下,随着冷变形压下量增加或时效温度降低,f_s-T曲线极大值移向高温,可通过调整冷变形压下量和时效温度以控制极大值对应温度,获得较低的频率温度系数值。     

35Cl NQR studies of 1‐chloro‐2,4‐dinitrobenzene and 1,2‐dichloro‐3‐nitrobenzene as a function of pressure and temperature

The temperature and pressure dependences of ³⁵Cl nuclear quadrupole resonance (NQR) frequency and spin–lattice relaxation time (T₁) were investigated for 1‐chloro‐2,4‐dinitrobenzene and 1,2‐dichloro‐3‐nitrobenzene. T₁ was measured in the temperature range 77–300 K. Furthermore, the NQR frequency (ν) and T₁ for these compounds were measured as a function of pressure up to 5.1 kbar at 300 K. Relaxation was found to be due to the torsional motion of the molecule and the reorientation motion of the nitro group. By analysing the temperature dependence of T₁, the activation energy for the reorientation motion of the nitro group was obtained. The temperature dependence of the average torsional lifetimes of the molecules and the transition probabilities W₁ and W₂ for the Δm = ±1 and Δm = ±2 transitions, were also obtained. Both compounds showed a non‐linear variation of NQR frequency with pressure. The pressure coefficients were observed to be positive. A thermodynamic analysis of the data was carried out to determine the constant‐volume temperature coefficients of the NQR frequency. The spin–lattice relaxation time T₁ for both the compounds was found to be weakly dependent on pressure, showing that the relaxation is mainly due to the torsional motions. Copyright © 2002 John Wiley & Sons, Ltd.     

Shear buckling modes of cylindrical sandwich shells under external pressure, tension-compression of bearing layers with unequal forces, and inhomogeneous across-the-thickness temperature

Equations are set up for describing, in a correct statement and with an accuracy sufficient in actual practice, the shear buckling modes (BMs) of cylindrical sandwich shells with a transversely soft core of arbitrary thickness. Based on them, solutions are obtained to a number of problems on the buckling instability according to shear modes under some force and thermal loadings. It is found that the BMs occur in the shell along the circumferential and axial directions if, in the precritical state, a normal compressive stress arises in the transverse direction. It is shown that this condition is fulfilled in the following cases: in axial tension of the shell with unequal forces applied to the end faces of bearing layers (the parameter of critical load is maximum if the tensile forces are equal); under external (internal) pressure; on cooling the outer and heating the inner layers. The results obtained are presented in the form of simple analytical formulas for determining the corresponding critical parameters of the force and thermal actions.Translated from Mekhanika Kompozitnykh Materialov, Vol. 41, No. 1, pp. 37–48, January–February, 2005.     

周期荷载作用下杆的突变失稳分析

本文应用数学突变理论分析周期荷载作用下弹性杆件的非线性振动屈曲问题,通过一系列数学变换得到问题的尖点突变模式,从而得到结构发生振动屈曲的判断准则。     

典型桥梁断面软颤振现象及影响因素

采用弹簧悬挂节段模型测振的试验方法研究了常用的全封闭箱梁断面、中央开槽箱梁断面、半封闭箱断面和双边肋断面等4种典型桥梁断面可能出现的软颤振响应.试验结果表明:上述4种断面均可能出现不同尺度的软颤振现象,软颤振表现为弯扭自由度耦合的单频振动特征,其耦合程度不仅会随着风速的变化而变化,而且会随着断面流线性变好而增加;流线性较差的钝体断面的软颤振风速区间往往很宽.桥面附属结构会增强软颤振响应,而改变结构阻尼对软颤振稳定振幅的影响并不明显.     

FSAE赛车车架灵敏度分析与轻量化设计

以FSAE赛车车架为研究对象,构建了基于扭转刚度及模态频率综合灵敏度分析的车架有限元模型.通过考虑管件壁厚对车架性能影响的相对灵敏程度,从而选择更具针对性的设计变量进行优化设计.以车架质量最小为目标函数,以扭转刚度和模态频率为约束条件,对车架管件壁厚进行优化计算.结果表明,在保证使用性能的前提下,优化后的车架质量比原设计减少了6.01%.     

铝-锂合金动态扭转实验研究

利用霍普金森扭杆（Torsional Split-Hopkinson Bar）技术对三种不同成份或状态的铝-锂合金材料的动态应力-应变-应变率关系进行了实验测定。应变率范围由1300s-1到2600s-1,研究表明随着应变率的提高,三种不同成份或状态的铝-锂合金材料的韧性和强度都有不同程度的提高。对剪切带的初步观察发现,随应变率的增加,剪切带有变窄的趋势。     

NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATES UNDER CIRCUMJACENT LOAD

Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition was researched. Nonlinear differential eigenvalue equations and boundary conditions of the problem were formulated by variational method and then their exact static solution can be got. The solution was derived by modified iteration method, so the analytic relations between amplitude and nonlinear oscillating frequency for circular sandwich plates were obtained. When circumjacent load makes the lowest natural frequency zero, critical load is obtained.