采用Donnell运动方程和幂级数法,计算两端简支的截顶圆锥壳各阶周向模态下的前2阶固有频率,通过数值计算和有限元仿真对比,研究幂级数法计算圆锥壳固有频率的收敛性和准确性。此外,分析了壳体参数对前2阶固有频率的影响。
With Donnell equations of motion and power series method applied, the first two natural frequencies of the truncated conical shells simply supported at its ends under each circum ferential mode number are calculated. By contrasting results of numerical calculation and the finite element simulation, the convergence and accuracy of power series method are investigated in calculating natural frequencies of the conical shells. In addition, the effects of parameters of conical shells on the first two natural frequencies are analyzed.
2016,38(3): 45-49 收稿日期：2015-06-03
DOI：10.3404/j.issn.1672-7619.2016.03.010
分类号：U661.44;O327
基金项目：海军工程大学自然科学基金资助项目(HGDKYJGZX15021)
作者简介：周云泽(1990-),男,硕士研究生,研究方向为振动与噪声控制。
参考文献：
[1] TONG L Y. Free vibration of orthotropic conical shells[J]. International Journal of Engineering Science, 1993, 31(5):719-733.
[2] CARESTA M, KESSISSOGLOU N J. Vibration of fluid loaded conical shells[J]. Acoustical Society of American, 2008, 124(4):2068-2077.
[3] 骆东平, 赵玉喜. 环肋圆锥壳自由振动特性分析[J]. 振动与冲击, 1990(4):64-69.
[4] 陈美霞, 邓乃旗, 张聪, 等. 水中环肋圆锥壳振动特性分析[J]. 振动与冲击, 2014, 33(14):25-32. CHEN Mei-xia, DENG Nai-qi, ZHANG Cong, et al. Vibration of submerged and ring stiffened conical shells[J]. Journal of Vibration and Shock, 2014, 33(14):25-32.
[5] 朱显明, 张国良, 师汉民. 截顶圆锥壳体的自由振动分析[J]. 舰船科学技术, 1997(5):33-36.
[6] LEISSA A W. Vibration of shells[M]. New York:American Institute of Physics, 1993.
[7] CARESTA M, KESSISSOGLOU N J. Free vibrational characteristics of isotropic coupled cylindrical-conical shells[J]. Journal of Sound and Vibration, 2010, 329(6):733-751.
[8] CARESTA M, KESSISSOGLOU N J. Acoustic signature of a submarine hull under harmonic excitation[J]. Applied Acoustics, 2010, 71(1):17-31.
