缓冲包装设计的灵敏度分析

首次对非线性多自由度包装结构缓冲设计进行了灵敏度分析。根据摄动法得到渐近解,通过脉冲响应及其关于设计变量的灵敏度表示成积分形式,该方法适用于质量阵、阻尼阵和刚度阵非对称及非比例阻尼的条件。利用响应灵敏度表达缓冲性能极值关于设计变量的灵敏度。通过其灵敏度分析进行改进能有效地提高缓冲性能。     

对接机构非线性物理参数辨识方法

采用直接参数识别方法(DPE)由系统的输入、输出数据识别空间对接机构的物理参数:惯量矩阵、阻尼矩阵和刚度系数矩阵。首先建立了对接机构简化非线性动力学方程,然后利用系统已知的对称性和非满阵信息将机构的非线性物理方程变形为参数线性的辨识模型,分别采用同时需要位移、速度和加速度数据的DPE方法和只需要位移数据的四阶差分DPE方法识别机构的物理参数。六自由度对接机构仿真算例验证了两种方法的可行性。     

多自由度非线性系统动态参数化模型建模方法研究

针对多自由度非线性系统的动态模型辨识问题,基于NARX(Non-linear Autoregressive with Exogenous inputs)模型的建模方法,考虑系统的物理设计参数,建立非线性系统动态参数化模型.首先,根据系统输入、输出数据建立系统不同参数下的NARX模型,并通过EFOR(Extended Forward Orthogonal Regression)算法对不同参数下NARX模型进行修正,以统一辨识得到的系统模型结构.随后,建立NARX模型系数与物理设计参数间的函数关系,得到多自由度非线性系统的动态参数化模型.以单输入、单输出两自由度非线性系统为例,根据数值仿真结果,对系统的动态参数化模型建模过程进行说明.最后,以带非线性涂层阻尼的悬臂梁作为试验对象,建立其动态参数化模型以反映其动力学特性.试验结果表明,非线性系统动态参数化模型能准确预测多自由度非线性系统的输出响应,为非线性系统的分析与优化设计提供了理论基础.     

多自由度系统动力学问题的功率方程解法

本文提出了对多自由度系统动力学问题的功率方程解法;该方法不涉及抽象的广义力、拉格朗日函数及其对广义坐标的微分,易学易懂,应用简便;并与拉格朗日方程具有相同的功能。     

多自由度体系效应对强度折减系数的影响

首先推导了多自由度体系效应影响强度折减系数的修正系数的计算方法,然后利用严格按我国抗震规范设计的钢筋混凝土框架结构及大量地震动记录研究了多自由度体系效应影响强度折减系数的规律,并给出了相应的实用计算公式。结果表明:结构的周期及延性对修正系数的影响较为显著,且修正系数随周期及延性的增大而增大;场地条件对修正系数的影响可忽略。     

弹塑性MDOF系统地震输入能量研究

基于地震作用下弹塑性SDOF(Single Degree of Freedom)和弹性MDOF(Multi-degree of Freedom)系统能量输入研究,本文分析了弹塑性MDOF系统能量输入规律。以实测地震记录为输入,采用弹塑性时程分析方法,计算了一阶初始周期≤3s的5、10、20、30层双线性滞回剪切层模型,不同阻尼比、承载力降低系数情况下4800个结构和一阶初始周期>3s的40层结构能量输入,与弹塑性SDOF系统的输入能量谱进行对比。研究表明:一阶周期在3s以内的弹塑性MDOF系统输入能量EI可用相同阻尼比、初始周期、承载力降低系数的弹塑性SDOF系统计算结果近似确定;一阶周期大于3s的弹塑性MDOF系统,可采用MPA方法等效为多个弹塑性SDOF系统,按照振型叠加法计算总输入能。     

Slepian simulation of distributions of plastic displacements of earthquake excited shear frames with a large number of stories

The object of this study is a stationary Gaussian white noise excited plane multistory shear frame with a large number of rigid traverses. All the traverse-connecting columns have finite symmetrical yield limits except the columns in one or more of the bottom floors. The columns behave linearly elastic within the yield limits and ideally plastic outside these without accumulating eigenstresses. Within the elastic domain, the frame is modeled as a linearly damped oscillator. The white noise excitation acts on the mass of the first floor making the movement of the elastic bottom floors simulate a ground motion that interacts with the structure above the bottom floors. As in a recent work by the authors, the paper is about application of the so-called Slepian model simulation, but in this paper supplemented by a simplification principle that allows a manageable calculation for the considered type of elasto-plastic oscillator also when it has a large number of elasto-plastic columns.     

动力荷载作用下预应力混凝土靠船桩变形性能理论及数值分析

结合靠船桩工作特点,提出了考虑内外阻尼效应的靠船桩动力理论分析方法,并采用数值分析手段,分析了动力荷载作用下混凝土强度、初始预应力及荷载作用位置对预应力混凝土靠船桩变形、抗裂性能的影响.结果表明,高强度混凝土靠船桩受预应力水平影响大,但当高初始预应力与低荷载作用位置组合时,混凝土等级变化对靠船桩极限变形能力影响较小;预应力混凝土靠船桩开裂荷载与荷载作用位置关系密切,当荷载作用位置较高时,桩身开裂后很快就丧失承载能力而发生破坏;初始预应力水平对低强度混凝土(C50)靠船桩的极限变形能力影响小,而对等级较高混凝土(C60、C70)靠船桩极限变形能力影响较大.     

Development and application prospects of piezoelectric precision driving technology

With the rapid development of science and technology, microelectronics manufacturing, photonics technology, space technology, ultra-precision machining, micro-robotics, biomedical engineering and other fields urgently need the support of modern precision driving theory and technology. Modern precision driving technology can be generally divided into two parts: electromagnetic and non-electromagnetic driving technology. Electromagnetic driving technology is based on traditional technology, has a low thrust-weight ratio, and needs deceleration devices with a cumbrous system or a complex structure. Moreover, it is difficult to improve positioning accuracy with this technology type. Thus, electromagnetic driving technology is still unable to meet the requirements for the above applications. Non-electromagnetic driving technology is a new choice. As a category of non-electromagnetic driving technology, piezoelectric driving technology becomes an important branch of modern precision driving technology. High holding torque and acute response make it suitable as an accurate positioning actuator. This paper presents the development of piezoelectric precision driving technology at home and abroad and gives an in-depth analysis. Future perspectives on the technology’s applications in the following fields are described: 1) integrated circuit manufacturing technology; 2) fiber optic component manufacturing technology; 3) micro parts manipulation and assembly technology; 4) biomedical engineering; 5) aerospace technology; and 6) ultra-precision processing technology.     

Linear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions

The Volterra series approach has been widely used for the analysis of nonlinear systems. Based on the Volterra series, a novel concept named nonlinear output frequency-response functions (NOFRFs) was proposed by the authors. This concept can be considered as an alternative extension of the classical frequency-response function for linear systems to the nonlinear case. In this study, based on the NOFRFs, a novel algorithm is developed to estimate the linear stiffness and damping parameters of multi-degree-of-freedom (MDOF) nonlinear systems. The validity of this NOFRF-based parameter estimation algorithm is demonstrated by numerical studies.