Effects of Cone Angles on Nonlinear Vibration Responses of Functionally Graded Shells北大核心CSCD

The nonlinear vibration responses of functionally graded materials (FGMs) shells with different cone angles under external loads were studied. Firstly, the Voigt model was employed to describe the physical properties along the thickness direction of FGMs conical shells. Then, the motion equations were derived based on the 1st-order shear deformation theory, the von Kármán geometric nonlinearity and Hamilton’s principle. Next, the Galerkin method was applied to discretize the motion equations and the governing equations were simplified into a 1DOF nonlinear vibration differential equation under Volmir’s assumption. Finally, the nonlinear motion equations were solved with the harmonic balance method and the Runge-Kutta method, and the amplitude frequency response characteristic curves of the FGMs conical shells were obtained. The effects of different material distribution functions and different ceramic volume fraction exponents on the amplitude frequency response curves of conical shells were discussed. The bifurcation diagrams of conical shells with different cone angles, as well as time process diagrams and phase diagrams for different excitation amplitudes, were described. The motion characteristics were characterized by Poincaré maps. The results show that, the FGMs conical shells present the nonlinear characteristics of hardening springs. The chaotic motions of the FGMs conical shells are restrained and not prone to motion instability with the increase of the cone angle. The FGMs conical shell present a process from the periodic motion to the multi-periodic motion and then to chaos with the increase of the excitation amplitude. © 2022 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.     

Metal island coated polymer sensor for direct determination of the volume effect of chaotropic agents

A new optical sensor is presented, based on the analyte reaction resulting in swelling and shrinking of a thin polymer layer. Changing the concentration of ions in a new bisazide photo-cross-linked poly(vinylpyrrolidone) polymer results in a concentration-dependent volume change of the hydrated gel. The volume response of the sensor induced by different ions is fully reversible over more than 250 cycles. The response of the device depends on the type, the charge and the concentration of the ions. The sensor material is part of an optical thin film system which transforms the variations in volume of the polymer into spectral information. The steady state of the sensor response is obtained within 60 s. The response time is mainly limited by the pump rate, the back pressure and the total volume of the system but not by the swelling of the sensor polymer. A comparative study of ion effects has demonstrated a fundamental correlation of the polymer swelling properties with the Hofmeister series of chaotropic agents. Thus it is concluded that the photopolymer, which is solubilized in aqueous solutions by the interaction of its amide structure with the solvent, behaves like the backbone amide structure of proteins.     

爆破地震峰值的神经网络预报模型

对爆破地震值进行预报,方法,采用神经网络模型,对秦山核电站某爆破工程监测得到的２０组震动峰值数据进行学习,然后对另１０组数据进行预报。结果,实测值与预报所在分类区域完全一致。     

车用电控汽油机实时爆震检测方案的研究

研究一种可以满足准确性,实时性要求的车用电控汽油机爆震检测方案,方法 测量缸盖的振动信号,确定爆震检测频率,运用概率和数理统计的方法。对缸盖振动信号进行分析,找出规律性,在非爆震,严重爆震,爆震时,爆震检测区间内信号峰值都服从对数正态分布。     

用于智能材料与结构的NiTi丝的电阻特性研究

研究了拉伸过程中,ＮｉＴｉ形状记忆合金丝的应变与电阻的关系．结果表明,对于初始组织为马氏体的ＮｉＴｉ丝,在拉伸过程中,电阻与应变之间成线性关系．对于初始组织为奥氏体或奥氏马氏体两者混合的ＮｉＴｉ丝,当发生应力诱发马氏体相变后,曲线的斜率降低,相变前后电阻－应变保持线性关系．对于初始组织含有Ｒ相组织的ＮｉＴｉ丝,在拉伸过程中,电阻的变化规律较为复杂,取决于初始组织中各相的比例和温度．在卸载阶段,当没有相变过程发生时,电阻－应变之间呈线性关系;当有相变过程发生时,电阻－应变曲线的斜率会发生改变．     

三自由度耦合非线性振动的同步混沌

讨论了一个三自由度耦合非线性振动的混沌响应。利用非线性振动的模态分析方法,将这一高维非线性性系统降维到一维子流形上来研究,对降维解耦后的模态振动方程采用平面Ｍｅｌｎｉｋｏｖ方法,得到了系统发生同步混沌的临界条件,并进行了数值计算,从中得到了一些有益的结论。     

精密仪器的防振问题探讨

从理论上分析了支承受激扰时精密仪器对振动的响应特性与允许振动之间的关系,从而可以根据精密仪器的允许振动,采取相应的防振措施。     

高柔土建结构振动主动控制的研究进展

阐述了高耸柔性结构振动主动控制的必要性、基本概念及其关键技术,综述了其研究现状及存在的问题,并指出高耸柔性结构机敏化／智能化是确保结构安全性与耐久性的重要途径。     

Exact quantum mechanical vibration-rotation kinetic energy operator of four-particle system in various coordinates

The vibration-rotational kinetic energy operators of four-particle system in various coordinates are derived using a new and simple angular momentum method. The operators are respectively suitable for studying the systems described by scattering coordinate, valence coordinate, Radau coordinate, Radau/Jacobi and Jacobi/valence hybrid coordinates and so on. Certain properties of these operators and their possible applications are discussed.     

Luminescent dendrimers as ligands for metal ions

Suitably designed luminescent dendrimers can play a role of ligands for luminescent and non-luminescent metal ions. This combination leads to species capable of exhibiting interesting and unusual properties, including (i) shielding excited states from quenching processes, (ii) light harvesting, (iii) conversion of incident UV light into visible or infrared emission, and (iv) metal ions sensing with signal amplification.