Experimental and numerical study on vibrations and static deflection of a thin hyperelastic plate

Amabili, Marco; Balasubramanian, Prabakaran; Breslavsky, Ivan D.; Ferrari, Giovanni; Garziera, Rinaldo; Riabova, Kseniia

doi:10.1016/j.jsv.2016.09.015

Cited by 47 publications

(13 citation statements)

References 12 publications

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“…where T is determined by the constitutive equation (15) and γ is constraint response, which is an arbitrary function of (θ α , t).…”

Section: Problem Formulationmentioning

confidence: 99%

“…Breslavsky and co-workers [13,14] concluded that the best approximation to the real response of the structure was provided by the Ogden model since it correctly reproduces the behavior of the plate at large strains, including the increase in stiffness of the material after a given strain threshold is reached. This research was continued, shortly after, by Balasubramanian et al [15] who revisited the nonlinear bending vibrations of a thin square silicone rubber plate analytically, numerically and, also, experimentally. The authors reported that the lack of experimental studies, on square inflated plates in particular, inspired their experimental work and provided a strong innovative character to their research.…”

Section: Introductionmentioning

confidence: 98%

“…On the other hand, the numerical model was developed using a finite element code. Balasubramanian et al [15] showed that with a correct parameter identification their analytical and numerical models accurately predict the experimental response of the plate up to large deformations. Moreover, Breslavsky et al [16] studied the dynamic response of a circular cylindrical shell made of an hyperelastic bio-material described as a combination of Neo-Hookean and Fung models.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder

Aranda-Iglesias

Rodríguez-Martínez

Rubin

2018

International Journal of Non-Linear Mechanics

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“…where T is determined by the constitutive equation (15) and γ is constraint response, which is an arbitrary function of (θ α , t).…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder

Aranda-Iglesias

Rodríguez-Martínez

Rubin

2018

International Journal of Non-Linear Mechanics

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show abstract

“…Both ends of the rotor are supported by a fine adjusting V frame. The pump rotor can be lifted at the same step height of 0.05mm until the rotor impeller is completely removed from the horizontal platform [5].…”

Section: Selection and Installation Of Measuring Instrumentsmentioning

confidence: 99%

Analysis and Measurement of Static Deflection of Water Pump Rotor

Zhao¹,

Xu²,

Jiao³

et al. 2018

dtcse

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Abstract. The method of obtaining the maximum value of static deflection based on least square method curve fitting is introduced which is more accurate than the direct measurement data. The static deflection measurement data of the pump rotor were simulated using a simply supported beam as an example by adding errors in the data. The accuracy and rationality of cubic spline fitting and polynomial fitting in static deflection measurement were compared. The error might increase by using the cubic spline fitting when there are measurement errors. The error of static maximum deflection value after polynomial fitting is reduced to 27.8% of the direct measurement error, and the accuracy is better than that of the nearest measured point data instead of the static maximum deflection. The finite element simulation of pump rotor is carried out by using ANSYS in this paper to verify the feasibility.

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“…[18][19][20] Some works reported in the literature provide analytical, numerical, and experimental studies of rubber-like materials. As an example, in Amabili et al, 21 the analysis of a thin plate of silicone rubber is presented. The bending under static pressure conditions and dynamic low-amplitude vibration tests is particularly described to analyze the mechanical responses of the specimen.…”

Section: Introductionmentioning

confidence: 99%

Modeling the damped dynamic behavior of a flexible pendulum

Ortega

Farías

Cruchaga

et al. 2019

The Journal of Strain Analysis for Engineering Design

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The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. The simulation of the problem is developed in the framework of a parallel multi-physics code. Particular emphasis is placed on the analysis of the Newmark integration scheme and the use of Rayleigh damping model. In particular, the time step size effect is analyzed. A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.

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Experimental and numerical study on vibrations and static deflection of a thin hyperelastic plate

Cited by 47 publications

References 12 publications

Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder

Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder

Analysis and Measurement of Static Deflection of Water Pump Rotor

Modeling the damped dynamic behavior of a flexible pendulum

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