声散射在检测声学和医疗成像诊断中是一个重要的现象,被检测物体外部形状的复杂性以及内部的缺陷或病变等会引起复杂的散射场.首先介绍了经典的无限长刚性圆柱在平面波入射下的声散射理论,引入了边界元法(the boundary element method,B...声散射在检测声学和医疗成像诊断中是一个重要的现象,被检测物体外部形状的复杂性以及内部的缺陷或病变等会引起复杂的散射场.首先介绍了经典的无限长刚性圆柱在平面波入射下的声散射理论,引入了边界元法(the boundary element method,BEM),并且构建了模型计算边界元的声散射与理论解作对比.然后采用边界元法计算有限长刚性圆柱以及连线垂直于入射方向的两个刚性圆柱和不同轴长比的椭圆柱的声散射.计算结果表明,当无因次参量ka值比较小时,圆柱的尺寸比值以及双圆柱的情况对散射场分布的影响不大;当ka值比较大且圆柱的长度与半径比L/r值比较大时,无限长圆柱与有限长圆柱的散射场可以近似等效;增加双圆柱之间的距离,散射场的声压幅值和旁瓣的数目都会增加;椭圆柱的散射声场在轴长比a/b=2时声压较小.研究圆柱的散射问题具有丰富的意义,可以为目标物体的识别、缺陷的识别和定位等提供一定的理论依据.展开更多
Scattering and dynamic stress concentrations of time harmonic SH-wave in an infinite elastic piezoelectric medium with a movable rigid cylindrical inclusion are studied in this paper with the help of complex variable ...Scattering and dynamic stress concentrations of time harmonic SH-wave in an infinite elastic piezoelectric medium with a movable rigid cylindrical inclusion are studied in this paper with the help of complex variable and wave function expansion method. The relations that a movable rigid cylindrical inclusion depends on intensity of incident wave and electric field are revealed. The expressions of dynamic stress at the edge of the inclusion are obtained. Numerical calculations are made with different wave numbers and different piezoelectric characteristic parameters. The calculating results show that dynamic stress concentrations at the edge of the inclusion have linear dependence on the incident electric field. And dynamic analyses are very important for an infinite piezoelectric medium with a movable rigid cylindrical inclusion at larger piezoelectric characteristic parameters.展开更多
Thermal effects are incorporated into developed discrete layer mechanics for two-dimensional cylindrical shells structures. Finite element equations are developed according to layerwise theory of laminated structure. ...Thermal effects are incorporated into developed discrete layer mechanics for two-dimensional cylindrical shells structures. Finite element equations are developed according to layerwise theory of laminated structure. Following the layerwise theory, a variable kinematic model that incorporates mechanics and thermal conditions is also presented. The new element has a field of displacement compatible with the cylindrical shell element or plate and it can be used as a rigid element for this structural element.ln the laminate model construction, adjacent layers are arranged as bonded layers. The layer has a unique constant thickness that can be different to each layer. The fiber reinforced is used and the fibers in a laminate may be oriented arbitrarily. The shear stress is adopted equal to zero because the thin thickness, on the other hand, the normal stress is maintained in order to ensure the compatibility of stress in material. The previously authors of this methods neglect the implications of thermal effects on cylindrical shells structures. Thermal effects become important when the structure has to operate in either extremely hot or cold temperature environments. These extreme conditions may severely affect the response of structure in two distinct ways： （1） induction of thermal stresses due to differences in the coefficients of thermal expansion between the various composite plies and layers and （2） temperature dependence of the elastic properties. Only a limited amount of work has been reported concerning this topic. All in all, the main contribution of this work is the consideration of this kinematic for cylindrical shells that incorporate mechanics and thermal conditions. In addition, numerical results are presented to demonstrate the capability of the current formulation to represent the behavior of cylindrical shells with these characteristics.展开更多
文摘声散射在检测声学和医疗成像诊断中是一个重要的现象,被检测物体外部形状的复杂性以及内部的缺陷或病变等会引起复杂的散射场.首先介绍了经典的无限长刚性圆柱在平面波入射下的声散射理论,引入了边界元法(the boundary element method,BEM),并且构建了模型计算边界元的声散射与理论解作对比.然后采用边界元法计算有限长刚性圆柱以及连线垂直于入射方向的两个刚性圆柱和不同轴长比的椭圆柱的声散射.计算结果表明,当无因次参量ka值比较小时,圆柱的尺寸比值以及双圆柱的情况对散射场分布的影响不大;当ka值比较大且圆柱的长度与半径比L/r值比较大时,无限长圆柱与有限长圆柱的散射场可以近似等效;增加双圆柱之间的距离,散射场的声压幅值和旁瓣的数目都会增加;椭圆柱的散射声场在轴长比a/b=2时声压较小.研究圆柱的散射问题具有丰富的意义,可以为目标物体的识别、缺陷的识别和定位等提供一定的理论依据.
基金Supported by the Nature Science Foundation ofHeilongjiang Province of China (No.A00-10) the Basis Re-search Foundation of Harbin Engineering University ( No.HEUF04008).
文摘Scattering and dynamic stress concentrations of time harmonic SH-wave in an infinite elastic piezoelectric medium with a movable rigid cylindrical inclusion are studied in this paper with the help of complex variable and wave function expansion method. The relations that a movable rigid cylindrical inclusion depends on intensity of incident wave and electric field are revealed. The expressions of dynamic stress at the edge of the inclusion are obtained. Numerical calculations are made with different wave numbers and different piezoelectric characteristic parameters. The calculating results show that dynamic stress concentrations at the edge of the inclusion have linear dependence on the incident electric field. And dynamic analyses are very important for an infinite piezoelectric medium with a movable rigid cylindrical inclusion at larger piezoelectric characteristic parameters.
文摘Thermal effects are incorporated into developed discrete layer mechanics for two-dimensional cylindrical shells structures. Finite element equations are developed according to layerwise theory of laminated structure. Following the layerwise theory, a variable kinematic model that incorporates mechanics and thermal conditions is also presented. The new element has a field of displacement compatible with the cylindrical shell element or plate and it can be used as a rigid element for this structural element.ln the laminate model construction, adjacent layers are arranged as bonded layers. The layer has a unique constant thickness that can be different to each layer. The fiber reinforced is used and the fibers in a laminate may be oriented arbitrarily. The shear stress is adopted equal to zero because the thin thickness, on the other hand, the normal stress is maintained in order to ensure the compatibility of stress in material. The previously authors of this methods neglect the implications of thermal effects on cylindrical shells structures. Thermal effects become important when the structure has to operate in either extremely hot or cold temperature environments. These extreme conditions may severely affect the response of structure in two distinct ways： （1） induction of thermal stresses due to differences in the coefficients of thermal expansion between the various composite plies and layers and （2） temperature dependence of the elastic properties. Only a limited amount of work has been reported concerning this topic. All in all, the main contribution of this work is the consideration of this kinematic for cylindrical shells that incorporate mechanics and thermal conditions. In addition, numerical results are presented to demonstrate the capability of the current formulation to represent the behavior of cylindrical shells with these characteristics.
