Rotating structural components are omnipresent in engineering structures and natural world. This work investigates the effects of the centrifugal and Coriolis forces on the free vibrational characteristics of soft cylinders rotating with respect to the axis of symmetry based on the nonlinear elasticity and linear incremental theories. The formulations indicate that the biasing deformation, instantaneous elastic moduli, and incremental equations of motion strongly depend on the rotating speed. The characteristic equation for the natural frequency is derived using the state-space method and approximate laminate technique. The numerical examples included in this work demonstrate that the centrifugal and Coriolis forces might have significant effects on the vibrational characteristics of the cylinder. Results of this work will benefit the design and control of novel engineering systems with rotating soft cylinders or shafts.

旋转结构部件在工程结构和自然世界中无处不在。这项工作基于非线性弹性和线性增量理论，研究了离心力和科里奥利力对相对于对称轴旋转的软圆柱体的自由振动特性的影响。这些公式表明，偏置变形，瞬时弹性模量和运动增量方程在很大程度上取决于转速。固有频率的特征方程式是使用状态空间方法和近似叠层技术得出的。这项工作中包含的数值示例表明，离心力和科里奥利力可能会对气缸的振动特性产生重大影响。