复杂包装耦合界面动态性预测的改进逆子结构理论

以产品、包装、运载体组成的产品运输系统为研究对象,在动态逆子结构理论基础上建立适合这一系统特性的改进理论,研究包装界面动力学特性的反向建模技术并实验验证。结果表明：新方法能有效预测复杂包装耦合界面动力学特性。研究结论为产品运输包装设计提供新的理论基础。     

离散化包装耦合体动刚度的逆子结构计算方法

提供离散化包装耦合体的动刚度一种间接的逆子结构计算方法,依据矩阵理论建立复杂包装耦合体等效离散化后动态刚度逆子结构分析计算方法及其普适性公式。应用典型运输包装系统的集总参数模型验证公式的完备有效性,并计算源函数（频率响应函数）误差的影响。     

运输包装系统动态特性的逆子结构分析计算

在针对"产品-包装耦合-运载体"运输包装系统中的包装耦合体,给出确定其动态刚度的逆子结构分析计算公式之后,应用集总参数模型全面检验了适用于运输包装缓冲防震系统动态特性分析与评价的逆子结构计算公式.结果表明,相关的6个关键计算公式在集总参数模型的理想状态下,具有完备的计算有效性.     

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。     

离散化包装耦合体动刚度的间接逆子结构分析计算方法

提供一种间接计算离散化包装耦舍体动刖度的逆子结构分析计算方法,依据矩阵理论推导了计算公式.该方法采用工程应用中较易测量或测量误差相对较小的系统水平和部件水平频率响应函数(FRF)进行分析计算,可有效提高计算精度和应用于运输包装系统动态优化设计的可行性.以典型运输包装系统的集总参数模型验证了公式的完备有效性,并比较了动刚度的直接与间接逆子结构分析计算因FRF测量误差所造成的结果偏差.     

产品-包装-运载体系统动态特性研究

为缓冲防震系统的设计与评估提供一种新的结构动态分析方法,将复杂耦合结构系统的动态逆子结构分析方法应用于运输包装工程中.从系统分析的角度建立用于确定"产品-包装-运载体"在系统与部件水平的动态特性的实验技术理论.通过对一个集总参数模型实例在系统水平的传递函数的计算,验证了所建立理论的有效性.     

应用逆子结构方法确定包装耦合体动态特性

应用动态逆子结构分析理论,针对"产品-包装耦合-运载体"系统中的包装耦合体,提出一套基于系统与部件实验测量的耦合动态特性分析计算新方法,包括直接逆子结构法和间接逆子结构法.应用集总参数模型及部分实验结果检验该套技术方法的有效性.这两种方法是为实际包装耦合体的设计及其缓冲防震性能的评价而提出的.     

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。     

运输包装车辆装配系统直接与间接逆子结构动态分析方法实验验证

针对"产品-包装-车辆"装配系统中的包装耦合体,基于系统与部件水平的实测频率响应函数(FRF),计算了装配耦合动刚度,包括直接逆子结构法和间接逆子结构法。设计了一套实验模型并测量、计算和分析了其系统装配耦合动刚度,实验验证了这2种方法在实际包装耦合体的设计及其缓冲防震性能分析上应用的有效性。     

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。     

多级刚性包装运输系统间接逆向子结构分析

目的针对各子部件耦合界面之间的系统水平频响函数难以测量,刚性耦合系统逆向子结构分析方法无法顺利应用的情况,提出多级系统间接分析方法。方法基于子结构理论,提出单点耦合和多点耦合系统的多级刚性耦合系统间接逆向子结构分析方法,然后建立相对应的集总参数模型,利用已知参数和公式获得部件频响函数直接计算值和预测值,最后将两者进行对比验证。结果部件频响函数直接计算值与预测值相吻合,验证了方法的准确性。结论提出的方法可为逆子结构理论在解决耦合界面频响函数难测问题时提供新思路,以及为在运输包装领域更广泛的应用提供更多的可能性。     

Application of the Inverse Substructure Method in the Investigation of Dynamic Characteristics of Product Transport System

Product, packaging and vehicle constitute a complex product transport system in logistics. It is very difficult to obtain accurately the dynamic response of a product transport system under the action of environmental vibration and shock. In this paper, product transport system is treated as a two substructure‐coupled system composed of product system (including critical element) and vehicle connected by packaging and its fixing (location pattern, securing, etc.); the inverse substructure method is applied to the analysis of the dynamic characteristics of the system. For verification of the validity of the inverse substructure method for product transport system, a typical lumped mass model is taken as an example for numerical validation. To check out the accuracy of the method, we completed the experiment, and the predicted substructure‐level frequency response functions are in overall agreement with those measured. The sensitivity of the method to measurement error is also made. To study the influences of the product parameters, packaging and its fixing, we investigated the effects of the coupling stiffness, mass ratio, frequency parameter ratio and damping on the dynamic response of critical element. Reducing the coupling static stiffness of product–vehicle interface can effectively lower the response of critical element, especially when the coupling stiffness is less than the stiffness of product and vehicle. Copyright © 2011 John Wiley & Sons, Ltd.     

Investigation of Frequency Response Function of Product‐Transport System Based on Multi‐coordinate Coupled Inverse Substructure Method

The product and vehicle, through a packaging, constitute a complex product‐transport system in logistics. It is very important to obtain the frequency response functions of the product‐transport system and its substructures for the design of product packaging. In this paper, the product‐transport system is treated as a two‐substructures multi‐coordinate coupled system. It is composed of a product substructure and a vehicle substructure, which are connected by a packaging structure consisting of many packaging units. The multi‐coordinate coupled inverse substructure method is developed and used to analyse the dynamic characteristics of the product‐transport system. To verify the validity of this method for the product‐transport system, the experiment of a physical prototype is conducted. The results show that the predicted substructure‐level frequency response functions are in accordance with the measured. Copyright © 2013 John Wiley & Sons, Ltd.     

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 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 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.