获取界面响应不可测数据的频响探针关键技术研究

目的针对传统逆子结构理论在求解过程中界面响应难以实测的问题,提出一种利用频响探针技术来获取该界面响应的关键技术。方法首先基于该频响探针的动力学微分方程,从理论上推导了该频响探针技术的理论公式,然后对建立的二级单点刚性耦合系统进行了有限元数值验证,将利用频响探针技术预测得到的难测原点频响函数与有限元计算值进行比较,并将该预测值代入逆子结构理论公式中,得到了部件频响函数的预测值,将该预测值与有限元计算值进行了对比验证。结果预测值与有限元计算值高度吻合,验证了该理论的准确性。结论该频响探针关键技术在获取界面响应不可测数据方面,有很好的应用价值。     

界面响应不可测的刚性耦合系统逆向子结构分析EI北大核心CSCD

获取产品运输系统的动态响应特性是进行缓冲包装设计的关键,逆子结构理论是一种在线预测部件频率响应函数的方法,大多数机电类产品的物流运输是通过螺栓等方式与货车、轮船等运载体直接刚性连接。由于耦合界面处物理空间的限制或者脆弱部件的干扰,难以在此同时进行激振和拾振,使得测量信息面临不完备的风险,传统的逆子结构理论是基于测量信息完备基础上的。提出利用虚拟质量法来获取耦合界面处难测频响函数的方法,建立基于虚拟质量法的界面响应不可测的刚性耦合逆子结构理论。然后利用集总参数模型对该理论进行了验证,结果显示预测值与计算值完全吻合,最后通过物理模型实验对该理论在实况条件下的有效性进一步验证。该方法为子结构解耦问题中的测量信息不完备问题提供了一种思路。     

界面响应不可测的刚性耦合系统逆向子结构分析

获取产品运输系统的动态响应特性是进行缓冲包装设计的关键,逆子结构理论是一种在线预测部件频率响应函数的方法,大多数机电类产品的物流运输是通过螺栓等方式与货车、轮船等运载体直接刚性连接。由于耦合界面处物理空间的限制或者脆弱部件的干扰,难以在此同时进行激振和拾振,使得测量信息面临不完备的风险,传统的逆子结构理论是基于测量信息完备基础上的。提出利用虚拟质量法来获取耦合界面处难测频响函数的方法,建立基于虚拟质量法的界面响应不可测的刚性耦合逆子结构理论。然后利用集总参数模型对该理论进行了验证,结果显示预测值与计算值完全吻合,最后通过物理模型实验对该理论在实况条件下的有效性进一步验证。该方法为子结构解耦问题中的测量信息不完备问题提供了一种思路。     

多点刚性耦合产品包装运输系统间接逆向子结构分析

在实际测量过程中,产品包装运输系统的耦合界面处通常空间结构复杂,导致该处的频率响应函数难以测得。针对该问题,提出基于多点刚性耦合产品包装运输系统的间接逆子结构方法,该方法无需测得系统耦合界面处的频响函数即可求得未知子系统(产品/关键部件)在耦合点处的频响函数。基于动力学微分方程和线性叠加原理建立系统与子结构的力与位移关系,再通过矩阵变换,分别得到了用于不同刚性耦合包装运输系统的间接逆子结构方法公式。建立集总参数模型,验证该算法的正确性。结果表明该方法在运输包装领域具有优秀的可行性和应用前景。     

基于逆子理论的洗衣机运输系统动态特性分析

目的获取产品运输包装系统各部件的动态特性。方法采用多级系统分布解耦法,结合二级刚性耦合系统逆子结构理论,推导由产品、车辆部件水平和系统水平频响传函预测关键部件频响传函的理论公式。搭建电机-洗衣机-车辆三级刚柔耦合运输系统,对理论方法进行验证。结果通过在线实验验证,基于理论预测得到的关键部件频响传函和测试值相吻合。结论研究结果为产品运输包装设计和优化提供了参考依据。     

一种针对含非线性子结构多点耦合运输包装系统的解耦方法

目的 考虑到运输包装系统耦合形式复杂,包装材料及包装结构具有非线性特性,不容易测量局部物理参数,需要对传统逆向子结构方法进行优化,使之能够求解非线性多点耦合系统中子结构的动态响应特性。方法 使用描述函数法将非线性的运输包装系统线性化,测量其在若干特定振动幅值下的频率响应函数;之后,应用逆向子结构方法和参数识别方法,计算包装件的模态参数;最后,拟合包装件模态参数与振动幅值之间的关系,构建函数来描述包装件的动态响应特性。结果 在集总参数模型中,解耦预测值与实际值吻合;在有限元模型中,对响应峰值的预测误差小于5%,对响应跳跃现象所在频率的预测误差小于3%。结论 该研究将传统逆向子结构方法的应用范围拓展到了非线性多点耦合系统,对复杂运输包装系统动力学模型的构建和防振包装的设计具有指导意义。     

刚柔耦合包装系统动态特性分析的逆子结构方法

目的以三级刚柔耦合包装系统为研究对象,推导由系统水平传递函数反向预测部件水平传递函数的逆向子结构分析公式。方法结合刚性和柔性系统特点,分别将三级刚柔耦合系统转化为二级刚性和二级柔性结构,经过理论推导得出结果,并用集总参数模型进行验证,对理论公式进行误差分析。结果验证了理论公式的正确性,获得了各测量传函对预测传函的影响规律。结论为刚柔耦合包装系统动态力学分析提供了理论依据。     

基于频域子结构法的动量轮弹性边界微振动研究

动量轮会与卫星弹性安装界面发生结构耦合,并将导致动量轮微振动的定量分析更为复杂。基于频域子结构方法对动量轮与弹性边界耦合系统的微振动特性进行研究。对频域子结构法进行了推导,引入界面坐标转换矩阵表达不同坐标系下子结构的综合;将动量轮模型简化成12自由度质量-弹簧-阻尼系统,并采用Lagrange能量方法建立其运动方程;将耦合系统划分成动量轮与弹性边界两个子结构,应用推导所得的频域子结构法综合子结构的频响函数得到耦合系统的频响函数矩阵并计算其响应;运用数值仿真和多体动力学仿真进行了验证。结果表明:频域子结构法适用于预测动量轮在弹性边界的微振动响应,具有较高的分析精度和计算效率。     

主轴-刀柄与刀柄-刀具结合面参数辨识研究

针对获取刀尖频响函数的动柔度耦合子结构分析方法(RCSA)精度受子结构端点频响函数及各结合面参数影响,各子结构间结合面参数辨识方法研究尚未成熟之问题,研究利用传递矩阵法与RCSA耦合算法预测刀尖频响函数,利用PSO优化算法最小化理论及实验结果,辨识主轴-刀柄与刀柄-刀具结合面参数。比较结果发现,预测、实验刀尖频响函数一致性较好,说明该辨识方法能有效识别主轴-刀柄与刀柄-刀具结合面参数。     

基于频响函数的逆子结构方法误差分析

目的 通过分析随机误差在基于试验频响函数(FRFs)的逆子结构分析方法中的传递,得出随机误差对预测结果的影响规律,为基于逆子结构方法分析复杂结构的动态特性提供参考价值.方法 对获得的系统频响函数施加不同程度(1％,5％,10％)的随机误差,对比分析各个耦合系统频响函数对预测子结构频响函数的影响.结果 对耦合系统频响函数施加随机误差后,采用逆子结构方法对耦合系统解耦后预测的子结构频响函数严重偏离真实值,尤其是共振频率附近,所施加的随机误差在预测子结构频响函数中甚至被放大了数十倍,导致预测结果不可靠;且耦合系统耦合点处的频响函数对预测结果的影响最大.结论 通过分析明确了系统频响函数所携带的随机误差对预测结果的影响规律,且这些误差将随着矩阵的求逆运算被放大,且交叉耦合系统频响函数对预测结果的影响最为显著.     

Indirect Inverse Substructuring Theory for Coupling Dynamic Stiffness Identification of Complex Interface Between Packaged Product and Vehicle Transport System

Inverse substructuring method has been recently proposed and applied for inverse analysis of the dynamical response of product transport system. The component‐level frequency response functions (FRFs) and the coupling dynamic stiffness for facilitating the cushioning packaging design are all predicted from only the system‐level FRFs. However, the system‐level FRFs from coupling degree of freedoms may not be measured accurately because of the difficulties of vibration excitation and response measurement for the coupled interface between packaged product and vehicle within the limited accessible space. The aim of this paper is to develop a new FRF‐based indirect inverse substructuring method for the analysis of the dynamic characteristics of a three‐substructure coupled product transport system without measuring system‐level FRFs at the coupling degree of freedoms. By enforcing the dynamic equilibrium conditions at the coupling coordinates and the displacement compatibility conditions, a closed‐form analytical solution to inverse sub‐structuring analysis of multi‐substructure coupled product transport system is derived based on the relationship of easy‐to‐monitor component‐level FRFs and the system‐level FRFs at the coupling coordinates.. The proposed method is validated by a lumped mass‐spring‐damper model, and the predicted coupling dynamic stiffness is compared with the direct computation, showing exact agreement. Then, the FRF tests of a physical prototype of multi‐substructure coupled product transport system are performed to further check the accuracy of the suggested method. The method developed offers an approach to predict the unknown coupling dynamic stiffness from measured FRFs purely. The proposed method may help to obtain the main controlling factors and contributions from the various structure‐borne paths for product transport system. Copyright © 2014 John Wiley & Sons, Ltd.     

Inverse Sub‐Structuring Theory for Coupled Product Transport System Based On the Dummy Masses Method

It is of high importance to predict the components frequency response functions (FRFs) for obtaining the coupled product transport system's response. However, the components behaves much differently when coupled with another components compared with that in free state. Inverse sub‐structuring method has been recently proposed and applied for inverse analysis of the dynamical response of coupled product transport system. The component‐level FRFs and the coupling dynamic stiffness are all predicted from only the system‐level FRFs, facilitating the engineering design for product transport system. However, in most engineering application practices, the system‐level FRFs from coupling degrees of freedom may not be measured accurately because of the difficulties of vibration excitation and/or response measurement for the coupled interface between components within the limited accessible space. The aim of this paper is to develop a new FRF‐based indirect inverse sub‐structuring method for the analysis of the dynamic characteristics of a two‐component coupled product transport system without measuring system‐level FRFs at the coupling degrees of freedom. A so‐called dummy masses method is developed and applied for predicting the unmeasured FRFs at the coupling degrees of freedom, and the inverse sub‐structuring approach based on the dummy mass method is derived for inverse analysis of coupled product transport system, which is further verified by a lumped‐mass model, showing exact agreement. Finally, the experiment on a physical prototype of two‐substructure coupled product transport system is performed to further check the accuracy of the suggested method. The new method shows its great application prospect in coupled product transport system.     

Inverse Sub‐structuring Method for Multi‐coordinate Rigidly Coupled Product Transport System based on a Novel Shearing Probe Technique

The inverse sub‐structuring method can predict the component‐level frequency response functions (FRFs) of product (critical component) for product transport system from only measured system‐level FRFs, facilitating the cushioning packaging design. However, the FRFs of the coupling interface between product and vehicle are usually of extreme difficulty to be measured due to the limited accessible space. To overcome this difficulty, the authors suggested a so‐called FRF probe technique method in the previous study, which may be more suitable for the single‐coordinate coupled system. In practice, most of the product transport systems should be treated as multi‐coordinate coupled system. The aim of this paper is to derive a new FRF‐based inverse sub‐structuring method for multi‐coordinate rigidly coupled product transport system and develop a new shearing probe technique to obtain the difficult‐to‐monitor FRFs at the coupling interface, which will be validated by a lumped mass model and finite element models, respectively, showing perfect agreement. Finally, the experiment on a physical prototype of multi‐coordinate rigidly coupled product transport system is performed to further check the feasibility of the application prospect of the shearing probe technique for inverse analysis of product transport system. The method proposed in this study will provide the packaging designers an alternative method to monitor the integrity of product transport system. Copyright © 2017 John Wiley & Sons, Ltd.     

Inverse Sub‐structuring Method for Rigidly Coupled Product Transport System based on Frequency Response Function Testing Probe Technique

The inverse sub‐structuring method has been recently proposed and applied for inverse analysis of product transport system, to predict the component‐level frequency response functions (FRFs) and the coupling dynamic stiffness from only the system‐level FRFs. However, previous applications of this method were all developed based on the assumption that the components were coupled by flexible couplings. Actually, increasing more components are welded or bolted to construct a coupled system, which should be treated as rigidly coupled system. The aim of this paper is to derive a new FRF‐based inverse sub‐structuring method for the analysis of the dynamic characteristics of a two‐component coupled product transport system with rigid couplings. And then a so‐called FRF testing probe technique is proposed and applied to measure the difficult‐to‐monitor FRFs at the coupling interface. The developed method is verified by a lumped‐mass model, showing exact agreement. Finally, the experiment on a physical prototype of two‐substructure coupled product transport system is performed to further check the accuracy of the suggested method. The proposed method is an extension of previous inverse sub‐structuring method and may help to obtain the main controlling factors and contributions from the various structure‐borne paths for product transport system. Copyright © 2016 John Wiley & Sons, Ltd.     

扩展工况传递路径分析方法改进

为提高扩展工况传递路径分析(OPAX)方法的精度,提出用逆子结构技术计算动刚度、测试信号降噪处理和用神经模糊逻辑算法测算载荷的改进方法。以一款微型客车为验证对象,测试系统水平和子结构水平频响函数、悬置动刚度以及车辆行驶中激励点和响应点加速度信号;利用Matlab软件建立程序,分别用改进OPAX方法和已有OPAX方法计算动刚度、载荷和传递路径贡献量;以用传统传递路径方法所得结果或测试结果作为标杆,将这三个参数分别与之作对应比较,比较显示改进方法得到的结果具有较高的精度。所作研究也丰富了OPAX方法理论。     

Inverse Sub‐Structuring Method for Multi‐Coordinate Coupled Product Transport System

A new high‐accuracy transfer function is selected, and an inverse sub‐structuring method is developed for the analysis of the dynamic characteristics of a three‐sub‐structure coupled product transport system. The closed‐form analytical solution to inverse sub‐structuring analysis of multi‐coordinate coupled multi‐ sub‐structure product transport system is derived. The proposed method is validated by a lumped mass spring damper model; the predicted frequency response functions (FRFs) of sub‐structures and the coupling stiffness, in addition to the most concerned system‐level FRF, are compared with the direct computations, showing exact agreement. Then, FRF tests of a physical prototype of the multi‐coordinate coupled product transport system with three sub‐structures are performed to further check the accuracy of the suggested method. The method developed offers an approach to predict the unknown sub‐structure‐level FRFs and coupling stiffness purely from system‐level FRFs. The suggested method may help obtain the main controlling factors and contributions from the various structure‐borne paths for the product transport system, which may certainly facilitate the cushioning packaging design. Copyright © 2013 John Wiley & Sons, Ltd.     

多部件耦合包装系统逆子结构分析一般性理论

建立多部件耦合包装系统动力学模型,建立其动力学分析的一般逆子结构方法,得到从系统水平传函反向计算各耦合部件水平传函及部件间耦合动刚度的理论公式,采用集总参数模型数值校验了所建立理论的正确性。研究结论为复杂系统动力学特性分析提供了一种新的技术方法。