针对硬涂层薄壁圆柱壳复合结构的圆形开孔问题，提出了一种参数化的周向区域分解法，并基于Rayleigh-Ritz法建立了开孔硬涂层薄壁圆柱壳复合结构的自由振动半解析模型。以涂敷NiCoCrAlY+YSZ硬涂层材料的开孔薄壁圆柱壳为例，通过对比解析与有限元计算结果验证了该半解析模型的有效性和合理性。同时，探讨了周向均布条件下开孔数量、轴向位置、开孔大小和硬涂层弹性模量对开孔硬涂层薄壁圆柱壳复合结构振动特性的作用规律。结果表明，开孔会增加复合结构的固有频率，但随着周向均布孔数的增加，结构固有频率不断减小，且当开孔数等于周向半波数或其特殊倍数时，结构固有频率会发生突变升高的特殊现象；随着硬涂层弹性模量的增加，结构固有频率均不断增加；随着轴向开孔位置的升高，结构固有频率不断降低，且当开孔数等于周向半波数或其特殊倍数时，降低幅度会大大增加；孔径的增加也会降低结构固有频率，但当开孔数等于周向半波数或其特殊倍数时，结构固有频率会随着孔径的增加而增大。
Abstract
In order to solve the circular perforation problem of the composite thin-walled hard-coating cylindrical shell, a parameterized circumferential domain decomposition method is proposed. On this basis, a semi-analytical model of free vibration of the perforated thin-walled hard-coating cylindrical shell is established based on the Rayleigh-Ritz method. Taking the perforated thin-walled cylindrical shell coated with NiCoCrAlY+YSZ hard coating material as an example, the rationality of the semi-analytical model is verified by comparing the analytical and finite element results. Meanwhile, the effects of the circumferential perforation number, the axial perforation position, the perforation radius, and the coating elastic modulus on the vibration characteristics of the perforated hard-coating thin-walled cylindrical shell are discussed. The results show that the natural frequencies of the composite structure decrease with the increase of the circumferential perforation number, and will increase abruptly when the perforation number is equal to the circumferential half-wave number or its multiple. As the elastic modulus of the hard coating increases, the natural frequencies of the shell continue to increase. With the increase of the axial perforation position, the natural frequencies gradually decrease, and the decrease amplitudes will greatly increase when the perforation number is equal to the circumferential half-wave number or its multiple. Moreover, the natural frequencies decrease with the increase of the perforation radius on the whole, but the impact pattern will be opposite when the perforation number is equal to the circumferential half-wave number or its multiple.
关键词
硬涂层圆柱壳 /
圆形开孔 /
自由振动 /
半解析
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Key words
Hard-coating cylindrical shell /
Circular perforation /
Free vibration /
Semi-analytical
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