基于各向正交异性薄板模型的钢丝绳芯输送带弯曲振动特性分析

BENDING VIBRATION CHARACTERISTICS ANALYSIS OF THE CONVEYOR BELT WITH THE STEEL ROPE CORE BASED ON THE ORTHOGONAL ANISOTROPY SHEET MODEL

基于各向正交异性薄板的小挠度理论,首先建立了钢丝绳芯橡胶输送带上下分支横向自由振动模型,采用经典解法建立了下分支输送带SFSF边界模型、上分支槽型输送带底部SCSC、侧帮SFSC边界模型的解析解,其次采用胡拜尔(Huber)近似推导公式计算了钢丝绳芯输送带的主刚度,最后采用数值分析法对输送机的上、下分支输送带的前6阶固有频率、振型,以及固有频率随张力的变化规律进行了分析。结果表明:上、下分支输送带的固有频率随着带张力的增加而增加,且张力对下分支输送带的频率影响最大,对上分支输送带底边的固有频率影响较小,研究结果为输送带的弯曲振动响应及避免共振设计提供了依据。

The transverse free vibration model of the rubber conveyor belt with the steel rope core is established based the small deflection theory of the orthogonal anisotropy sheet model.By using the classical solution method,the analytical solutions of the SFSF boundary model of the lower branch conveyor belt,the SCSC boundary model of the upper branch slot shape bottom,and the SFSC boundary model of the side.The main stiffness of the conveyor belt with the steel rope core is derived by using the Khobar approximation.The previous-order natural frequencies of the lower branch conveyor belt and the upper branch conveyor belt,the vibration type and the variation law of natural frequency with the tension variation are obtained by employing the numerical analysis.The results show that the natural frequencies of the lower and the upper branch of the conveyor belt increase with the increasement of the belt tension,and the tension influences the frequency of the lower branch conveyor belt greatest and the frequency of the upper branch conveyor belt bottom smaller.The researching results provide the bending vibration response analysis and the resonance avoiding design of the conveyor belt with the basis.