振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
15期
114-118
,共5页
肖绪洋%陈润平%夏继宏%席锋
肖緒洋%陳潤平%夏繼宏%席鋒
초서양%진윤평%하계굉%석봉
准周期%Fibonacci 序列%声子晶体%弹性波
準週期%Fibonacci 序列%聲子晶體%彈性波
준주기%Fibonacci 서렬%성자정체%탄성파
quasi-periodic%Fibonacci sequence%phononic crystal%elastic wave
基于准周期 Fibonacci 序列,提出了一维对称准周期序列固液介质声子晶体。利用传输矩阵法,数值研究了弹性波在其中的透射特性,以及局域谐振模的基本特征。弹性波正入射时,对低序列声子晶体,在声子带隙的中心频率处出现局域谐振模,且在其左右对称地出现两条局域谐振模。在较高序列结构的声子晶体中,仅在中心频率处出现一条局域谐振模。当弹性波斜入射时,声子带隙和谐振模都略微向高频方向移动。弹性波以较大角度斜入射时,只有低频弹性波透射。
基于準週期 Fibonacci 序列,提齣瞭一維對稱準週期序列固液介質聲子晶體。利用傳輸矩陣法,數值研究瞭彈性波在其中的透射特性,以及跼域諧振模的基本特徵。彈性波正入射時,對低序列聲子晶體,在聲子帶隙的中心頻率處齣現跼域諧振模,且在其左右對稱地齣現兩條跼域諧振模。在較高序列結構的聲子晶體中,僅在中心頻率處齣現一條跼域諧振模。噹彈性波斜入射時,聲子帶隙和諧振模都略微嚮高頻方嚮移動。彈性波以較大角度斜入射時,隻有低頻彈性波透射。
기우준주기 Fibonacci 서렬,제출료일유대칭준주기서렬고액개질성자정체。이용전수구진법,수치연구료탄성파재기중적투사특성,이급국역해진모적기본특정。탄성파정입사시,대저서렬성자정체,재성자대극적중심빈솔처출현국역해진모,차재기좌우대칭지출현량조국역해진모。재교고서렬결구적성자정체중,부재중심빈솔처출현일조국역해진모。당탄성파사입사시,성자대극화해진모도략미향고빈방향이동。탄성파이교대각도사입사시,지유저빈탄성파투사。
On basis of quasi-periodic Fibonacci sequence,a symmetrical quasi-periodic phononic crystal composed of solid and liquid medium was proposed.Propagation of elastic wave in it and its local field resonant modes were investigated numerically with the transfer matrix method.It was shown that for the phononic crystal with lower order sequence,at the central frequency of the phononic band gap,a local field resonant mode appears;then,two local field resonant modes appear symmetrically at the left side and the right one of the central resonant mode;but for symmetrical quasi-periodic phononic crystal with higher order sequence,only there is a local field resonant mode at the central frequency;moreover,for an elastic wave oblique incident,the band gap and resonant modes slowly shift to higher frequency range;the resonant modes in the band gap can act as a super narrow bandwidth filter with multiple channels;for an elastic wave with larger incident angle,the lower frequency elastic wave can propagate through the higher order quasi-periodic phononic crystal.