2021•Unpublished venueRequires access

Load Matching Of Sectional Type Piezoelectric Cantilever Beam

Ke Zhang, Bin Ju

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Abstract

In the mechanical analysis, cantilever beams are often used as the simplified models. In addition to being a basic vibration analysis model, the cantilever beam structure can also be used as a driving component. When the energy generated by the vibration of the cantilever is used to drive a load, how to make the load obtain more energy and optimize the output of the cantilever is an important work. The corresponding impedance matching must be carried out between the cantilever beam, the load, and load connector. However, the theoretical analysis is very complicated since the cantilever is a continuum. Therefore, this paper selects three characteristic point positions for analysis, which are the root, middle and end of the cantilever beam. Then, the concept of load impedance matching research is proposed via using piezoelectric ceramics to drive a three-segment cantilever beam structure. The vibration energy of the cantilever beam is transferred to the load mass through the spring structure. The optimal problem of the energy output is equivalent to solving the problem of optimal spring stiffness coefficient and load mass. Through the parameterized scanning analysis of the finite element simulation, results indicated that there will be an optimal stiffness coefficient and load mass, with which the vibration energy of the cantilever beam can reach the optimal output.

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What this paper is about

In the mechanical analysis, cantilever beams are often used as the simplified models. In addition to being a basic vibration analysis model, the cantilever beam structure can also be used as a driving component. When the energy generated by the vibration of the cantilever is used to drive a load, how to make the load obtain more energy and optimize the output of the cantilever is an important work. The corresponding impedance matching must be carried out between the cantilever beam, the load, and load connector. However, the theoretical analysis is very complicated since the cantilever is a continuum. Therefore, this paper selects three characteristic point positions for analysis, which are the root, middle and end of the cantilever beam. Then, the concept of load impedance matching research is proposed via using piezoelectric ceramics to drive a three-segment cantilever beam structure. The vibration energy of the cantilever beam is transferred to the load mass through the spring structure. The optimal problem of the energy output is equivalent to solving the problem of optimal spring stiffness coefficient and load mass. Through the parameterized scanning analysis of the finite element simulation, results indicated that there will be an optimal stiffness coefficient and load mass, with which the vibration energy of the cantilever beam can reach the optimal output.

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Available abstract

In the mechanical analysis, cantilever beams are often used as the simplified models. In addition to being a basic vibration analysis model, the cantilever beam structure can also be used as a driving component. When the energy generated by the vibration of the cantilever is used to drive a load, how to make the load obtain more energy and optimize the output of the cantilever is an important work. The corresponding impedance matching must be carried out between the cantilever beam, the load, and load connector. However, the theoretical analysis is very complicated since the cantilever is a continuum. Therefore, this paper selects three characteristic point positions for analysis, which are the root, middle and end of the cantilever beam. Then, the concept of load impedance matching research is proposed via using piezoelectric ceramics to drive a three-segment cantilever beam structure. The vibration energy of the cantilever beam is transferred to the load mass through the spring structure. The optimal problem of the energy output is equivalent to solving the problem of optimal spring stiffness coefficient and load mass. Through the parameterized scanning analysis of the finite element simulation, results indicated that there will be an optimal stiffness coefficient and load mass, with which the vibration energy of the cantilever beam can reach the optimal output.

Key concepts: Cantilever, Structural engineering, Vibration, Beam (structure), Stiffness, Finite element method, Piezoelectricity, Impedance matching

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