The Use of Inertia Relief to Estimate Impact Loads

Nelson, Mark F.; Wolf, Joseph A.

doi:10.4271/770604

Cited by 15 publications

(9 citation statements)

References 3 publications

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“…The FE model, is discretized with isoparametric quadrilateral shell elements. The material is linear elastic and it is characterized by a Young's modulus E = 207 GPa, Poisson's ratio = 0.29 and density = 7.82 kg∕m 3 . In this example, the thickness of three car components highlighted in Figure 13, that usually play a role in the characterization of the global stiffness of the car, are introduced as extra coordinates of the problem.…”

Section: F I G U R E 12mentioning

confidence: 99%

“…The technique is available into most of the commercial finite element (FE) packages and it has been widely used by the industry in different fields. [2][3][4][5][6][7][8][9][10] The static global stiffness analysis of a body in white (BIW) is a common example that involves the computational simulation of an unconstrained configuration using the IR method. The BIW global stiffness plays a significant role in the design process of a car.…”

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confidence: 99%

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Nonintrusive reduced order model for parametric solutions of inertia relief problems

Cavaliere

Zlotnik

Sevilla

et al. 2021

Numerical Meth Engineering

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The Inertia Relief (IR) technique is widely used by industry and produces equilibrated loads allowing to analyze unconstrained systems without resorting to the more expensive full dynamic analysis. The main goal of this work is to develop a computational framework for the solution of unconstrained parametric structural problems with IR and the Proper Generalized Decomposition (PGD) method. First, the IR method is formulated in a parametric setting for both material and geometric parameters. A reduced order model using the encapsulated PGD suite is then developed to solve the parametric IR problem, circumventing the so-called curse of dimensionality. With just one offline computation, the proposed PGD-IR scheme provides a computational vademecum that contains all the possible solutions for a predefined range of the parameters. The proposed approach is nonintrusive and it is therefore possible to be integrated with commercial finite element (FE) packages. The applicability and potential of the developed technique is shown using a three-dimensional test case and a more complex industrial test case. The first example is used to highlight the numerical properties of the scheme, whereas the second example demonstrates the potential in a more complex setting and it shows the possibility to integrate the proposed framework within a commercial FE package. In addition, the last example shows the possibility to use the generalized solution in a multi-objective optimization setting. K E Y W O R D Sinertia relief, nonintrusive, proper generalized decomposition, reduced order model, shape optimization INTRODUCTIONUnconstrained structures are widespread in the automotive, aerospace and naval industry. As is well known, due to the singularity of the stiffness matrix, conventional static analyses cannot be performed if the system undergoes rigid body motions. At the same time, imposing dummy constraints in order to make a free-body system statically determinate leadsThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: F I G U R E 12mentioning

confidence: 99%

mentioning

confidence: 99%

Nonintrusive reduced order model for parametric solutions of inertia relief problems

Cavaliere

Zlotnik

Sevilla

et al. 2021

Numerical Meth Engineering

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“…The linear static analysis can then be performed to evaluate the structural performances, such as displacement, stress, or strain energy density. The accuracy of the IRM was investigated in . The main applications of IRM in the automotive industry were originally focused on the vehicle durability performance simulations under different road load conditions.…”

Section: Vehicle Application Examplementioning

confidence: 99%

Topology optimization with additive manufacturing consideration for vehicle load path development

Chuang

Chen

Yang

et al. 2017

Numerical Meth Engineering

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Topology optimization has been widely studied and implemented as a powerful conceptual design tool in various engineering applications. However, the result from topology optimization has posed an implementation challenge to engineers because of the complexity of converting obtained solution into computer-aided design data and then fabricating it into real parts. Over the past few years, the advanced additive manufacturing technology with new materials and higher resolution output capabilities has opened numerous opportunities to fill the gap between topology optimization and product application. In this study, an engineering procedure is presented for the conversion of topology optimization result to ready-to-print model for additive manufacturing. The steps of post-optimization handling are outlined, and the potential practical issues for the additive manufacturing implementation are discussed. A vehicle example for full frontal impact load path development by topology optimization with inertia relief approach is used to exhibit the employed additive manufacturing implementation process with a reduced-scale part build. The arising implementation issues and needs are examined for future advance of topology optimization and additive manufacturing integration development. Figure 7. Cleanup of the topology optimization result. (a) Details of selected interrupted and disconnected features in the initial design. (b) Design after modifications.Figure 8. Additive manufacturing build for reduced-scale vehicle.

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“…is made it possible to use statics to analyze the transient stress of the vibrating feeder when it was running reducing the complexity of the dynamic analysis of the vibrating feeder [16]. is also avoided the influence of the boundary conditions of fixed constraints on the stress calculation results in the static analysis, making the constraints of the finite element analysis consistent with the actual working conditions.…”

Section: Introductionmentioning

confidence: 99%

Structure Optimization of Vibrating Feeder Based on Inertia Release

Wang

et al. 2021

Shock and Vibration

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Reliability is a key factor in the design and manufacture of vibrating feeders. In this paper, a method considering materials force was proposed to optimize the structure of the vibrating feeder. Discrete Element Method (DEM) was used to couple the materials force and the excitation force based on the phase characteristics of the vibrating feeder, and Finite Element Method (FEM) was used to analyze the vibrating feeder structure based on the inertia release method. In order to reduce the stress on the beam of the vibrating feeder, three structural improvement schemes were proposed, which were constructing a statically indeterminate structure, increasing the width of the rib-stiffened plates on the beam, and increasing the internal spacing of the beam. Then, these three schemes were compared using the FEM. Finally, the response surface method was used to optimize the width of the inner and outer rib-stiffened plates. The research results showed that when the vibrating feeder moved close to the highest point, the materials force reached the peak. The maximum first principal stress occurred at the middle and both ends of the vibrating feeder beam under the joint action of the excitation force and the materials force. The first principal stress value of the beam was most significantly decreased by increasing the width of the rib-stiffened plates on the beam of three optimization schemes. The optimal increment of rib-stiffened plate width was 30 mm with the maximum first principal stress value reduced by 40.12%.

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The Use of Inertia Relief to Estimate Impact Loads

Cited by 15 publications

References 3 publications

Nonintrusive reduced order model for parametric solutions of inertia relief problems

Nonintrusive reduced order model for parametric solutions of inertia relief problems

Topology optimization with additive manufacturing consideration for vehicle load path development

Structure Optimization of Vibrating Feeder Based on Inertia Release

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