Experimental–Analytical Substructure Model Sensitivity Analysis for Cutting Machine Chatter Prediction

Liljerehn, Anders; Abrahamsson, Thomas

doi:10.1007/978-1-4614-2422-2_2

Cited by 6 publications

(7 citation statements)

References 11 publications

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“…However, the absolute value of the error for the first mode in the receptance FRF (used for coupling) is larger than for the other modes due to larger displacements. The rather high error in the substructuring results for the first mode might be explained by this error since Liljerehn and Abrahamsson [18] found that the peak height of the identified FRF has a large influence on the substructuring results. The high damping errors could be a sign of an inappropriate damping model.…”

Section: Discussionmentioning

confidence: 99%

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State-Space Dynamic Substructuring with the Transmission Simulator Method

Gibanica

Nord

2019

Exp Tech

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Dynamic substructuring is a technique to simplify the analysis of complex structures. The vibrational problems of the constituent substructures are analysed and solved individually and their solutions are then assembled to form the global solution. In experimental dynamic substructuring, at least one of the constituent substructures is identified experimentally. The coupling interfaces are commonly simplified in such syntheses, which can result in poor prediction quality in many applications. The transmission simulator was introduced to address this problem. Transmission simulators are well-modelled parts attached to the interface of the substructures to be coupled. This allows for distributed interfaces and a relaxation of the coupling conditions by using the transmission simulator's analytical modes as a basis for the coupling equations, at the cost of adding a decoupling step to the substructuring problem. In this paper, the transmission simulator method is translated to the state-space substructuring domain. The methodology is applied to the Society for Experimental Mechanics' substructuring focus group's Ampair A600 test bed in form of experimental-analytical substructuring. The Ampair wind turbine's hub is used as the transmission simulator and is modelled with finite elements while the three blades, individually attached to the real hub, are experimentally identified. The three experimental blade hub systems are then coupled and two finite element hubs decoupled from the system, using the derived method. Finally, this system is compared to a directly measured hub with three blades by means of frequency response functions and modal properties.

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Section: Discussionmentioning

confidence: 99%

“…Su and Juang [41] introduced a different approach using first-order statespace systems. A similar approach was also taken by Sjövall and Abrahamsson [39], later used and elaborated by Liljerehn, see [18].…”

Section: Introductionmentioning

confidence: 96%

State-Space Dynamic Substructuring with the Transmission Simulator Method

Gibanica

Nord

2019

Exp Tech

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“…To compute the coupled state-space model, one must start by adding the first block row of the state equations of the state-space models representative of the dynamics of substructures α and β. Then, by imposing both compatibility and equilibrium conditions (see equations (44a) and (44b)), the first block row of the coupled state-space model is computed (see [23]). Lastly, by correctly placing the remaining state-space matrix elements of the state-space models to be coupled, the coupled state-space model can be obtained as follows…”

Section: Comparison Of Lm-sss With Others Sss Techniquesmentioning

confidence: 99%

On the use of Lagrange Multiplier State-Space Substructuring in dynamic substructuring analysis

Dias

Martarelli²,

Chiariotti³

2022

Mechanical Systems and Signal Processing

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“…The level of intensity of self-oscillations significantly affects the tool life and machining productivity. In [23] it is indicated that for certain design and technological processing conditions, there is a certain optimal (according to the stability criterion) amplitude of self-oscillations, at which the greatest tool life takes place. When machining corrosion-resistant, heat-resistant, high-strength steels, as well as titanium and heat-resistant alloys by the hard-alloy insert of the tool, the zone of self-oscillation amplitudes optimal in terms of resistance criterion is in the range of 8-18 μm.…”

Section: Analysis Of Recent Research and Publicationsmentioning

confidence: 99%

“…To effectively influence the occurrence and nature of oscillatory processes during the titanium alloys machining, it is necessary to analyze the priority of factors affecting the real pattern of the physical processes of the elastic dynamic system "Machine-Fixture-Tool-Workpiece". This system, on the one hand, is described by the known equations of mechanical dynamics [5,23]. However, in the analytical description of the system of dynamic equations in the classical form, it is impossible to take into account the features of physical phenomena in the processing of titanium alloys (adiabatic shear conditions, specific dynamics of thermodynamic cutting processes, etc.).…”

Section: Analysis Of Recent Research and Publicationsmentioning

confidence: 99%

Archive of Mechanical Engineering

Stupnytskyy,

Xianning,

Novitskyi

et al. 2022

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Titanium alloys are difficult-to-machine materials due to their complex mechanical and thermophysical properties. An essential factor in ensuring the quality of the machined surface is the analysis and recommendation of vibration processes accompanying cutting. The analytical description of these processes for machining titanium alloys is very complicated due to the complex adiabatic shear phenomena and the specific thermodynamic state of the chip-forming zone. Simulation modeling chip formation rheology in Computer-Aided Forming systems is a practical method for studying these phenomena. However, dynamic research of the cutting process using such techniques is limited because the initial state of the workpiece and tool is a priori assumed to be "rigid", and the damping properties of the fixture and machine elements are not taken into account at all. Therefore, combining the results of analytical modeling of the cutting process dynamics with the results of simulation modeling was the basis for the proposed research methodology. Such symbiosis of different techniques will consider both mechanical and thermodynamic aspects of machining (specific dynamics of cutting forces) and actual conditions of stiffness and damping properties of the "Machine-Fixture-Tool-Workpiece" system.

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Experimental–Analytical Substructure Model Sensitivity Analysis for Cutting Machine Chatter Prediction

Cited by 6 publications

References 11 publications

State-Space Dynamic Substructuring with the Transmission Simulator Method

State-Space Dynamic Substructuring with the Transmission Simulator Method

On the use of Lagrange Multiplier State-Space Substructuring in dynamic substructuring analysis

Archive of Mechanical Engineering

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