摘要
夹芯梁具有重量轻，强度、刚度和稳定性好的优点．在现代复合材料结构中应用广泛．常用的夹芯结构分析理论有Ｒｅｉｓｓｎｅｒ理论和Ｈｏｆｆ理论．前者把表板视为薄膜求解．后者计及了表板自身弯曲刚度的影响，即把表板视为弹性薄板求解．Ｆｏｕｒｉｅｒ级数在匀质材料杆、板、壳经典理论中有重要应用．本文在此基础上．导出了Ｒｅｉｓｓｎｅｒ理论和Ｈｏｆｆ理论下的Ｆｏｕｒｉｅｒ级数求解通用方程。具有应用方便，能适用多种边界和复杂载荷作用夹芯梁分析的特点。
Sandwich beam is light, and it has good strength, good stiffness, good stability. It is widely used in modern composite materials structure. We often use Reissuer, E. 'S theory and Hcf f,s theory in sandwich structure analysis. The former considers the surface plate as membrane. The latter considers the influence of the surface plate,s own bend stiffness, in other words, it considers the surface plate as an elastical thin plate. In uniform materal classical theory, such as pole. plate. shell, Fourier series is widely used[1]. Based on this, this paper leads to the Fourier series general equation under Reissuer's theory and Hoff's theory. It is convenient to sandwich beam of analysis, and adapt to many boundary condition and complex load.
关键词
夹芯梁
FOURIER级数
弯曲
工程力学
sandwich beam, Fourier series, bend, composite materials mechanics, plate
