Piezoelectric composite rod machine-electric coupling performance emulation and simulation method
A technology of piezoelectric composite and composite rod machine, applied in the direction of electric digital data processing, instrumentation, calculation, etc., can solve the problems of poor accuracy and low analysis efficiency, and achieve the effects of simplified accuracy loss, high versatility, and fast operation speed
Inactive Publication Date: 2013-01-02
CHONGQING UNIV
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[0005] In view of the shortcomings of low analysis efficiency and poor precision in the prior art, the purpose of the present invention is to provide a piezoelectric composite rod mechanical-electrical coupling based on asymptotic variation algorithm with small calculation amount, low computer resource occupation and high efficiency. performance simulation method
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[0017] 1. Three-dimensional formula
[0018] Based on the Hamilton principle, the performance of the three-dimensional piezoelectric composite rod can be expressed as
[0019] ∫ t 1 t 2 [ δ ( K - H ) + δ W ‾ ] dt = 0 - - - ( 1 )
[0020] In the formula: t 1 and t 2 is an arbitrary fixed time; K and H are force and enthalpy, respectively; is the virtual work (if any) done by the applied load and charge, and the overline is used to indicate that the virtual work does not need to vary exactly for the functional. The electric enthalpy of the piezoelectric material is
[0021] H ...
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The invention relates to the field of material mechanic performance characterization, and discloses a piezoelectric composite rod machine-electric coupling performance emulation and simulation method. The method comprises the following steps of: constructing a piezoelectric composite rod three-dimensional electromechanical enthalpy equation based on a Hamilton principle and a rotation tensor decomposition concept; strictly reducing the dimensionality of an original three-dimensional model to form a one-dimensional model by taking the slenderness ratio of a piezoelectric composite rod as a small parameter; asymptotically computing the one-dimensional electromechanical enthalpy of the piezoelectric composite rod; storing a second-order asymptotically corrected energy term in an approximate enthalpy expression to obtain the one-dimensional electromechanical enthalpy which is equivalent to the original three-dimensional electromechanical enthalpy; and converting an approximate enthalpy into an additional one-dimensional electric freedom degree-containing general Timoshenko model form through an equilibrium equation so as to be convenient for engineering application. The method has high practicability, high universality, and stable and reliable obtained results, and can effectively simulate piezoelectric composite rod machine-electric coupling performance and accurately capture a medium effect and piezoelectric material polarization properties.
Description
technical field [0001] The present invention relates to the technical field of material mechanics, in particular to a method for simulating the mechanical-electrical coupling performance of piezoelectric composite rods based on the asymptotic variation method, which can effectively simulate the mechanical-electrical coupling performance of piezoelectric composite rods and accurately capture medium effects, Piezoelectric material polarization. Background technique [0002] Since the discovery of piezoelectric materials by the Curie brothers, they have been successfully applied in fields such as ultrasonic technology, micro / nano electronics industry, micro-acoustic wave generators, miniature electronic transformers and intelligent structures. The reason for this is that piezoelectric materials create an electro-mechanical or electro-mechanical conversion interface between two forms of energy. This bidirectional coupling, along with properties such as fast response, high bandw...
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IPC IPC(8): G06F17/50
Inventor 钟轶峰张亮亮牛建丰
Owner CHONGQING UNIV