压电
分析
定性数据统计分析pdf销售业绩分析模板建筑结构震害分析销售进度分析表京东商城竞争战略分析
The capability of modeling piezoelectric response exists in the following elements: SOLID5 - Coupled-Field Solid Element PLANE13 - 2-D Coupled-Field Solid Element SOLID98 - Tetrahedral Coupled-Field Solid Element PLANE223 - 2-D 8-Node Coupled-Field Solid Element SOLID226 - 3-D 20-Node Coupled-Field Solid Element SOLID227 - 3-D 10-Node Coupled-Field Solid Element The electromechanical constitutive equations for linear material behavior are: (11–36) (11–37) or equivalently (11–38) where: {T} = stress vector (referred to as {σ} elsewhere in this manual) {D} = electric flux density vector {S} = strain vector (referred to as {ε } elsewhere in this manual) {E} = electric field vector [c] = elasticity matrix (evaluated at constant electric field (referred to as [D] elsewhere in this manual)) [e] = piezoelectric stress matrix [ε] = dielectric matrix (evaluated at constant mechanical strain) The elasticity matrix [c] is the usual [D] matrix described in Structural Fundamentals (input using the MP commands). It can also be input directly in uninverted form [c] or in inverted form [c]-1 as a general anisotropic symmetric matrix (input using TB,ANEL): [c]刚度矩阵经常采用”MP”命令输入，也可以用“TB,ANEL”命令输入各向异性对称矩阵的形式。 (11–39) The piezoelectric stress matrix [e] (input using TB,PIEZ with TBOPT = 0) relates the electric field vector {E} in the order X, Y, Z to the stress vector {T} in the order X, Y, Z, XY, YZ, XZ and is of the form: [e]压电应力矩阵采用”TB,PIEZ”,TBOPT=0输入 (11–40) The piezoelectric matrix can also be input as a piezoelectric strain matrix [d] (input using TB,PIEZ with TBOPT = 1). ANSYS will automatically convert the piezoelectric strain matrix [d] to a piezoelectric stress matrix [e] using the elasticity matrix [c] at the first defined temperature: 压电矩阵也可以以压电应变矩阵[d]的形式输入，“TB,PIEZ”with TBOPT=1 Ansys会自动将压电应变矩阵[d]转换为压电应力矩阵[e] (11–41) The orthotropic dielectric matrix [ε] uses the electrical permittivities (input as PERX, PERY and PERZ on the MP commands) and is of the form: 正交各向异性介电矩阵[ε]由介电常数构成，“MP”命令的ERX, PERY and PERZ输入： (11–42) The anisotropic dielectric matrix at constant strain [εS] (input used by (used by TB,DPER,,,,0 command) PLANE223, SOLID226, and SOLID227) and is of the form: 常应变时的各向异性介电矩阵[ε]可以由命令TB,DPER,,,,0 command，在PLANE223, SOLID226, and SOLID227)输入 (11–43) The dielectric matrix can also be input as a dielectric permittivity matrix at constant stress [εT] (input using TB,DPER,,,,1). The program will automatically convert the dielectric matrix at constant stress to a dielectric matrix at constant strain: 常应力时的常应变时的介电矩阵[ε]可以由命令TB,DPER,,,,1 command输入 (11–44) where: [εS] = dielectric permittivity matrix at constant strain [εT] = dielectric permittivity matrix at constant stress [e] = piezoelectric stress matrix [d] = piezoelectric strain matrix
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