Longitudinal vibrations modeling of a piezoelectric actuator used in forming process

Ly, Rith; Giraud-Audine, Christophe; Bigot, Régis; Abba, Gabriel

doi:10.1109/icmech.2009.4957179

Cited by 6 publications

(14 citation statements)

References 17 publications

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“…It can be obtained by considering all the acceleration terms equal to zero and using the kinematic boundary conditions (3)(4)(5)(6)(7)(8)(9)(10)(11)(12), (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) and the equilibrium boundary conditions (4-2), (4-3), (4-4). The second term results from the application of the modal superposition to the rest of the response by using the simplified homogeneous equations of the equilibrium boundary conditions, in which V n (x) is the eigenshapes characterizing the deformation shape of piezoelectric cantilever and Á n (t) characterizes the amplitude of transverse displacement which is calculated by using the orthogonality properties.…”

Section: Analytical Approachmentioning

confidence: 99%

“…(4-1) is a partial differential equation which can be solved by using the modal decomposition [10,11]. The general solution can be given by:…”

Section: Analytical Approachmentioning

confidence: 99%

“…So the eigenshape must be a key factor for the analysis of harvesting energy. In order to express the eigenvalues and the eigenshapes, the calculation is performed by considering the system free from all external loads [10,11]. In our case, there is only the applied mechanical force.…”

Section: Analytical Approachmentioning

confidence: 99%

“…Under the assumption of the Euler-Bernoulli Beam Theory (EBT), the equations of motion for the system were established basing on Hamilton's principle and solved by using the modal decomposition method. This method is extended from the previous work of longitudinal vibrations modeling [10,11]. This model allows providing the transfer functions between the inputs (for example, an external force F(s)) and the outputs (for example, a transverse displacement and a voltage V(s)) which can present the dynamic behaviour in difference kinds of the mode shapes by time and frequency response.…”

Section: Introductionmentioning

confidence: 98%

See 3 more Smart Citations

Modeling and characterization of piezoelectric cantilever bending sensor for energy harvesting

Rguiti

d’Astorg

et al. 2011

Sensors and Actuators A: Physical

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Section: Analytical Approachmentioning

confidence: 99%

“…(4-1) is a partial differential equation which can be solved by using the modal decomposition [10,11]. The general solution can be given by:…”

Section: Analytical Approachmentioning

confidence: 99%

Section: Analytical Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Modeling and characterization of piezoelectric cantilever bending sensor for energy harvesting

Rguiti

d’Astorg

et al. 2011

Sensors and Actuators A: Physical

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“…It provides a state space representation which had been implemented using MATLAB ® [1]. The electromechanical equations of the complete actuator are given by:…”

Section: Piezoelectric Modellingmentioning

confidence: 99%

Experimentally valided approach for the simulation of the forging process using mechanical vibration

Ly¹,

Giraud-Audine

Abba

et al. 2009

Int J Mater Form

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Use of progressive wave: a new multisource vibration technique to assist metal forming process

Khan

Nguyen

Giraud-Audine³

et al. 2014

Mechanics & Industry

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Application of vibration in metal forming process has already shown numerous advantages in the past. It improves not only mechanical and surface properties of workpiece but the integration of vibration in metal forming process has also been helpful in the reduction of forming force required for the process. Majority of the work done before in this field is related to single vibration source vibration and its application in metal forming process. The aim of this work is to develop a mathematical model for multi vibration assisted forging process. The combination of multi mechanical vibrations generates a complicated movement of lower die without deforming it. This developed mathematical model proves that movement is basically in the form of progressive wave in the lower die thus resulting local surface movement. In reality this movement can be generated by the vibration given by multi piezoelectric actuators. Based on this mathematical model, simulations using finite element software Forge2011 r have been performed to observe the presence of progressive wave in the workpiece. The simulations' kinematics confirms the existence of progressive wave in the workpiece. Simulation results demonstrate the effect of progressive wave to reduce the forging force, reduction of friction on the lower surface of die and hence improvement the forging process. Based on the developed mathematical model and simulation results, design proposition for multi vibration assisted forging process has been presented in this work.

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Longitudinal vibrations modeling of a piezoelectric actuator used in forming process

Cited by 6 publications

References 17 publications

Modeling and characterization of piezoelectric cantilever bending sensor for energy harvesting

Modeling and characterization of piezoelectric cantilever bending sensor for energy harvesting

Experimentally valided approach for the simulation of the forging process using mechanical vibration

Use of progressive wave: a new multisource vibration technique to assist metal forming process

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