Review and status of tool tip frequency response function prediction using receptance coupling

Schmitz, Tony L.; Betters, Emma; Budak, Erhan; Yüksel, Esra; Park, Simon; Altintaş, Yusuf

doi:10.1016/j.precisioneng.2022.09.008

Cited by 20 publications

(5 citation statements)

References 137 publications

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“…The connection of an actual tool can be straightforwardly carried out using equation (1). In this case, the matrix 𝐻 (M,N<4) is assembled based on the FEM of the tool being connected.…”

Section: Mathematical Formulation Of Inverse Rcsamentioning

confidence: 99%

“…The receptance coupling methods offer a solution how to take into account the change of the tool. As many researchers have contributed to enhancing the applications of receptance coupling techniques, a detailed review is presented in [1] by Schmitz et al Receptance coupling methods combine the measured dynamic attributes of the machine structure (without a tool) with the simulated dynamics of different tools. These substructure dynamics are represented by frequency response functions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Single artifact inverse RCSA with improved cross compliance identification

Sulitka,

Falta,

Kohut

2024

Preprint

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The Frequency Response Function (FRF) at the tool-tip is important input for machining dynamics prediction, but its measurement is a time-intensive process. The receptance coupling technique offers a faster alternative, suitable for industrial applications where there is experimentally identified receptance matrix at machine-tool holder interface containing enough degrees of freedom to allow connection with various compliant tools modelled using finite element analysis (FEA). The presented approach to the technique further develops simplification of the inverse RCSA by using a single artifact proposed by Montevecchi, presenting simpler and more general mathematical formulation of the receptance matrix identification. The study also looked into how simplifying tool models affects their accuracy and performance in FEA, aiming to find a good balance between detail and efficiency. To prove the proposed technique, thorough tests on two dynamically different machine tools were conducted with various tool geometries.

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“…The connection of an actual tool can be straightforwardly carried out using equation (1). In this case, the matrix 𝐻 (M,N<4) is assembled based on the FEM of the tool being connected.…”

Section: Mathematical Formulation Of Inverse Rcsamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Single artifact inverse RCSA with improved cross compliance identification

Sulitka,

Falta,

Kohut

2024

Preprint

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“…Therefore, the condition of joint deformation is entered only for the 1st and 2nd subsystems, and dependencies (36) and (38) are represented in the forms:…”

Section: •Fmentioning

confidence: 99%

“…This is the approach characterized by the receiving communication substructure analysis (RCSA) method. This method was first applied by Schmitz and colleagues to predict tool tip susceptibility during milling using a frequency response function (FRF) [38]. They established the main advantages of the RCSA method [39].…”

Section: Introductionmentioning

confidence: 99%

Cutting Process Consideration in Dynamic Models of Machine Tool Spindle Units

et al. 2023

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Reducing the deviation effect from the specified machining conditions on the quality of the process in real time is the desired result of the intelligent spindle control system. To implement such a control system, a dynamic interaction model of the technological machining system with the cutting process was developed. The transfer matrix method of a multibody system was used in the development of the dynamic model. The physical closure condition of the technological machining system for using the transient matrix method is implemented in the developed model by introducing into this model an additional elastic coupling of the contact between the tool and the machined workpiece. The model is presented as a dynamic model of the elastic system “spindle unit–workpiece/tool–cutting process–tool/workpiece”. To develop the dynamic model, the system decomposition was performed with an analytical description of the joint deformation conditions of the subsystems and the use of the transient matrix method to calculate the harmonic influence coefficients of these subsystems. The proposed approach is used to calculate the native vibration frequencies of the spindle with the workpiece fixed in the chuck and supported with the tool. The calculation results correspond to the experimental ones and quite accurately represent their trends for different contact interaction conditions.

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“…The acquisition of a tooltip frequency response function (FRF) in micro-milling plays an important role in establishing accurate and reliable stability lobule diagrams (SLD). Experimental modal analysis (EMA) is the most used method for tool FRF determination [ 12 ]. Experimental modal analysis technology combines theoretical analysis with dynamic testing through system identification theory and modal analysis theory, which generally has three basic links: excitation, measurement, and analysis.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Displacement Measurement of Micro-Milling Tool Based on Fiber Array Encoding

Jia

Zhang

2023

Micromachines

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The vibration of the micro-milling tool presents a significant chaotic vibration phenomenon, which has a great influence on the tool life and part machining precision, and is one of the basic problems restricting the improvement of machining efficiency and machining accuracy in micro-milling. To overcome the difficulty of the traditional vibration measurement method with the online measurement of micro-milling tool multi-dimensional vibration, a three-dimensional (3D) measurement method of the micro-milling tool is proposed based on multi-fiber array coding, which converts the tool space motion into a decoding process of the optical coding array employing the tool modulating the multi-fiber array encoding. A 6 × 6 optical fiber array was designed, and a 3D motion platform for micro-milling tools was built to verify the characteristics of the optical fiber measurement system. The measurement results show that the measuring accuracy of the system reached 1 µm, and the maximum linear error in x-, y-, and z-direction are 1.5%, 2.58%, and 2.43%, respectively; the tool space motion position measurement results show that the maximum measurement error of the measuring system was 3.4%. The designed system has unique coding characteristics for the tool position in the space of 100 µm3. It provides a new idea and realization means for the online vibration measurement of micro-milling tools.

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Review and status of tool tip frequency response function prediction using receptance coupling

Cited by 20 publications

References 137 publications

Single artifact inverse RCSA with improved cross compliance identification

Single artifact inverse RCSA with improved cross compliance identification

Cutting Process Consideration in Dynamic Models of Machine Tool Spindle Units

Three-Dimensional Displacement Measurement of Micro-Milling Tool Based on Fiber Array Encoding

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