桅杆首阶固有频率控制与构形设计

First natural frequency control and shape design of mast

基于Timoshenko梁理论,提出筒形桅杆首阶固有频率控制设计原理。依据该原理,采用Transfer matrix算法,研究了直壁式、外凸式及双曲式三种构形的桅杆首阶固有频率的变化规律,发现在桅杆高度、质量、顶部及底部截面边长相同的情况下,外凸式构形具有最大的首阶固有频率值。

Based on the theory of Timoshenko beam, the design method of the first natural frequency of mast is developed. According to this method, the transfer matrix method is adopted to research the changing trend of the first natural frequency of mast, depending on three types of masts which are beeline type, parabola type and hyperbola type. Compared with another two types, the parabola type mast has the maximal natural frequency with the same height, mass, the length of the top and bottom cross section.