Stick-slip vibration of a cantilever beam subjected to harmonic base excitation

Won, Hong-In; Lee, Booyeong; Chung, Jintai

doi:10.1007/s11071-018-4164-7

Cited by 8 publications

(2 citation statements)

References 23 publications

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“…The test case under investigation is a simple cantilever beam [1,2] with the specifications given in Figure 1a. We choose parameter values such that the Euler-Bernoulli beam theory applies.…”

Section: Cantilever Beam Finite Element Modelmentioning

confidence: 99%

Towards neural network‐based numerical friction models

Vater

Stender

Hoffmann

2023

Proc Appl Math and Mech

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Friction contacts can be found in almost all mechanical systems and are often of great technical importance. However, they are usually difficult to describe, and their behavior and influence on the whole system are hard to predict accurately. Modern product design and system operation strongly benefit from numerical simulation approaches today, but reliable friction models still represent a major challenge in this context.To tackle this problem, we employ neural network regression to capture the characteristics of frictional contacts and make them accessible for numerical methods in a minimal intrusive fashion. In particular, we test our approach using a Finite Element model of a 2D cantilever beam subject to stick-slip vibrations induced by a moving conveyor belt at its free end. As a reference solution, we perform a transient analysis based on a simple analytical friction model, where the kinetic friction force only depends on the normal load and the relative sliding velocity. We take the same friction model, add some artificial noise to mimic uncertainties coming with experimental measurements, and pick a limited set of data points to train a regression neural network. The machine learning friction model is then deployed in the Finite Element code to predict the kinetic friction force acting on the beam tip during the slip phases.The deflection curves obtained by the transient numerical analysis using the new neural network friction model agree well with the reference solution based on the underlying analytical model. The results indicate that data-driven approaches may also be capable of capturing more complex frictional contacts, including effects of temperature, humidity, and load history. The trained neural network friction models can then be employed in numerical simulations in a minimally intrusive manner. This approach opens up new possibilities to predict individual mechanical system behavior as accurately as possible.

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Section: Cantilever Beam Finite Element Modelmentioning

confidence: 99%

Towards neural network‐based numerical friction models

Vater

Stender

Hoffmann

2023

Proc Appl Math and Mech

View full text Add to dashboard Cite

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“…Summarizing the works done, Zeng et al (Zeng et al, 2017) modeled a cantilever beam by using FEM and then, studied the dynamic characteristic analysis of beam occurred in different crack types. Won et al (Won, Lee and Chung, 2018) presented the dynamic responses of the stick-slip vibrations of a beam by applying the harmonic base excitation. FE method is used to model the dynamic behavior of the beam.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Vibration Suppression of a Flexible Structure in SimMechanics

Uyar¹

2021

European Journal of Science and Technology

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In this work, modeling and simulation of a flexible cantilever beam are investigated in SimMechanics and then, vibration results are verified with the finite element (FE) model in ANSYS. Flexible beam model based on SimMechanics is created in MATLAB, while the FE model is established in ANSYS. In the system, inputs are determined as a force base actuator and disturbance force. Outputs of the system are selected as displacement and acceleration responses at the endpoint of flexible beam. Undamped natural frequencies are determined by modal analysis in ANSYS and frequency analysis in MATLAB. Transient analyses are achieved to obtain the vibration responses. For the open loop responses, the displacement and acceleration vibration results are verified using step and harmonic excitations. The closed-loop control with PID controller is applied to the FE and SimMechanics models to control the endpoint position. The open and closed-loop vibration results are indicated for different controller gains. It observed that open and closed-loop results are successfully matched well with the FE model and SimMechanics. The accuracy of flexible beam model based on SimMechanics is verified with the FE model.

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