Research on Modal Analysis : 1st report, General Purpose Program of Curve Fitting and Basic Study

In this study, covering for the skill training centers in Japan, we performed surveillance study about the functions required for the general purpose milling machines for educational skill training. As a result, it was found that the function of recognizing machining state is desired for milling machines besides higher stiffness, higher accuracy, and the ease of chip treatment. Based on this fact, the general purpose vertical milling machine was developed for educational skill training. First, a beginner's work analysis was conducted and the functions which control the mishandling were developed. The operation mistake has decreased by this function. In addition, the cutting power inspection system was built by using high sensitive micro-wattmeter. And, the possibility of judgment of tool wear was found by inspecting the change of the wave profile in the wattmeter.

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A general purpose non–linear curve fitting program for the British Broadcasting Corporation Microcomputer

Bioinformatics ◽

10.1093/bioinformatics/1.2.111 ◽

1985 ◽

Vol 1 (2) ◽

pp. 111-115

Author(s):

Robert J. Beynon

Keyword(s):

Curve Fitting ◽

General Purpose ◽

British Broadcasting Corporation ◽

Non Linear

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Research on modal analysis (2nd report, time domain curve-fitting - Part 1)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.50.2249 ◽

1984 ◽

Vol 50 (460) ◽

pp. 2249-2257

Author(s):

Masaru NAGAIKE ◽

Akio NAGAMATSU

Keyword(s):

Modal Analysis ◽

Curve Fitting ◽

Time Domain ◽

Fitting Part

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A tutorial on a multi-mode identification procedure based on the complex-curve fitting method

Journal of Vibration and Control ◽

10.1177/10775463211057649 ◽

2022 ◽

pp. 107754632110576

Author(s):

Victor T Noppeney ◽

Thiago Boaventura ◽

Klaus Medeiros ◽

Paulo Varoto

Keyword(s):

Modal Analysis ◽

Curve Fitting ◽

Parameter Extraction ◽

Modal Identification ◽

Rational Fraction ◽

Polynomial Method ◽

Complex Curve ◽

Mode Identification ◽

Depth Analysis ◽

Multi Mode

Modal identification is a key step in modal analysis. It enables the researcher to extract modal parameters, such as natural frequency, amplitude, and damping from a given structure. There are a considerable number of techniques in the state of the art aiming to address this problem, where multi-mode approaches arise as an appealing choice due to their ability to deal with mode coupling. This tutorial paper focuses on the complex-curve fitting technique, originally conceived for an application distinct from modal analysis. It aims at guiding other researchers by providing a tutorial-like and in-depth analysis of this important method, associated with a nonlinear weighting procedure for improved precision. Additionally, this paper fills a gap on the original technique, which is limited to the ratio of two polynomials, by proposing an automatic parameter extraction technique. The original and improved methods are applied on both simulated and experimental data, highlighting the effectiveness of the proposed changes. The proposed procedure is also compared with the rational fraction polynomial method.

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