Joint parameter identification of a cantilever beam using sub-structure synthesis and multi-linear regression

Ingole, Sanjay B.; Chatterjee, Animesh

doi:10.12989/sem.2013.45.4.423

Cited by 2 publications

(5 citation statements)

References 15 publications

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“…. The details of FRF matrix γ for sub-system C are described by Ingole and Chatterjee [9]. The elements of matrix γ are where (EI) is bending stiffness of the beam, L is length of the beam and λ =…”

Section: Theory: Nonlinear Joint Parameter Identificationmentioning

confidence: 99%

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Nonlinear Joint Stiffness Parameter Identification

Ingole

Rajurkar

2021

Lecture Notes in Mechanical Engineering

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In this study, a method is developed for parametric identification of nonlinear element in structure. A concept of sub-structure synthesis is used to derive the frequency equation in terms of linear and nonlinear stiffness parameters. The derived equation is exploited for inverse analysis, wherein nonlinear parameter is estimated from theoretically obtained data. The method is demonstrated numerically for cantilever beam with nonlinear boundary condition. It is also shown that the method is robust against measurement errors and gives accurate estimates for a wide range of stiffness values.

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Section: Theory: Nonlinear Joint Parameter Identificationmentioning

confidence: 99%

“…in which (ρA) is the linear mass density function, and ω is the natural frequency of flexural vibration of the cantilever beam. The functions F 1 , F 3 , F 5 , F 6 are defined in Ingole [9], F 1 = sin(λ). sinh(λ); F 3 = cos(λ).…”

Section: Theory: Nonlinear Joint Parameter Identificationmentioning

confidence: 99%

Nonlinear Joint Stiffness Parameter Identification

Ingole

Rajurkar

2021

Lecture Notes in Mechanical Engineering

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“…(1) can be obtained from Ingole and Chatterjee. 21 Thus, if the FRFs at the interface co-ordinates are known for the individual sub-systems, then the natural frequencies of the composite system can be obtained by solving the frequency Eq. (1).…”

Section: Theory Of Sub-structure Synthesismentioning

confidence: 99%

“…21 However it is required to demonstrate the method here to establish need of 3-parameter model discussed in section 4. The frequency equation for 2-parameter joint model can be obtained as…”

Section: A Theory For a Two Parameter Joint Model Of A Cantilever Beammentioning

confidence: 99%

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Joint Stiffness Identification: a Three-Parameter Joint Model of Cantilever Beam

Ingole¹,

Chatterjee²

2017

IJAV

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In engineering applications, almost all structures are composed of substructures and parts that are joined together with a multitude of different connections (e.g., bolted, riveted, welded, etc.). It is known that the added flexibility introduced by the joint to a structure significantly affects its dynamic behavior. The need for accurate prediction of the dynamic characteristics of complex structures has led to extensive research on the identification of joint dynamic characteristics. In the present work, a structural joint have been modeled as a pair of translational and rotational springs and the frequency equation of the overall system has been developed using sub-structure synthesis. It is shown that by using the first few natural frequencies of the system, one can estimate the unknown stiffness parameters. The estimation procedure has been developed first for a two parameter joint model and then for a three parameter model in which cross coupling terms are also included. The validity of the proposed method is demonstrated numerically and experimentally.

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Joint parameter identification of a cantilever beam using sub-structure synthesis and multi-linear regression

Cited by 2 publications

References 15 publications

Nonlinear Joint Stiffness Parameter Identification

Nonlinear Joint Stiffness Parameter Identification

Joint Stiffness Identification: a Three-Parameter Joint Model of Cantilever Beam

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