哈尔滨工程大学学报
哈爾濱工程大學學報
합이빈공정대학학보
JOURNAL OF HARBIN ENGINEERING UNIVERSITY
2014年
11期
1358-1363
,共6页
声子晶体%带隙%禁带%旋转角%平面波展开法%散射体
聲子晶體%帶隙%禁帶%鏇轉角%平麵波展開法%散射體
성자정체%대극%금대%선전각%평면파전개법%산사체
phononic cyrstals%bandgap%forbidden band%rotation angles%plane wave expansion method%scatterers
为探讨散射体旋转作用对于弹性波在声子晶体中的传播特性产生的影响,采用平面波展开法将散射体与晶格轴线夹角因素引入结构函数,研究了在不同填充率下,伴随着旋转角的变化,正方形、椭圆形、正六边形散射体禁带出现的位置及宽度变化情况。研究结果表明:散射体旋转角度对二维声子晶体带隙结构具有显著影响,并且散射体旋转角对正六边形、正方形散射体的影响明显大于对于椭圆形散射体的影响;然而,无论散射体取为何种形状,旋转角度对声子晶体产生禁带的位置(禁带中间频率)影响并不明显。
為探討散射體鏇轉作用對于彈性波在聲子晶體中的傳播特性產生的影響,採用平麵波展開法將散射體與晶格軸線夾角因素引入結構函數,研究瞭在不同填充率下,伴隨著鏇轉角的變化,正方形、橢圓形、正六邊形散射體禁帶齣現的位置及寬度變化情況。研究結果錶明:散射體鏇轉角度對二維聲子晶體帶隙結構具有顯著影響,併且散射體鏇轉角對正六邊形、正方形散射體的影響明顯大于對于橢圓形散射體的影響;然而,無論散射體取為何種形狀,鏇轉角度對聲子晶體產生禁帶的位置(禁帶中間頻率)影響併不明顯。
위탐토산사체선전작용대우탄성파재성자정체중적전파특성산생적영향,채용평면파전개법장산사체여정격축선협각인소인입결구함수,연구료재불동전충솔하,반수착선전각적변화,정방형、타원형、정륙변형산사체금대출현적위치급관도변화정황。연구결과표명:산사체선전각도대이유성자정체대극결구구유현저영향,병차산사체선전각대정륙변형、정방형산사체적영향명현대우대우타원형산사체적영향;연이,무론산사체취위하충형상,선전각도대성자정체산생금대적위치(금대중간빈솔)영향병불명현。
In order to investigate the influence of rotation of scatterers on the propagation characteristic of elastic waves in phononic crystals, the plane wave expansion method is utilized in this paper.The factor of rotation an-gle between scatterers and lattice axis is introduced into the structure function to explore the change of position as well as the width of the band gap structure for square, ellipse and hexagon scatterers corresponding to the change of rotation angle and filling fractions.The results demonstrated that the rotation angle of scatterers has significant impact on the band gap structure of two dimensional phononic crystals.In the meantime, such im-pact on the hexagon and square scatterers is more obvious than the elliptical scatterers.However, no matter what the shape of the scatterer is, the influence of rotation angle on the band gap position ( mid-gap) of pho-nonic crystals is not obvious.