This study examined the performance of the centrifugal pendulum vibration absorber’s (CPVA) under the influence of centrifugal force and gravity fields. The focus was on identifying the factor that influenced noise, vibration, and harshness (NVH) problems that originate owing to the centrifugal pendulum absorber being at low engine speed such as engine start-stop or idle. Consequently, mathematical models were established employing Lagrange equation of the second kind, analytical solutions were obtained using the method of multiple scales, and several simple elementary mathematical equations describing the movement of the absorber were derived. Further, the analytical solutions were compared with the numerical simulation results of the complete non-linear equation of motion, which indicated that the former were suitable for studying the performance of CPVA.

The theoretical analysis of the application with four absorbers and two absorbers under gravity field was conducted. The absorbers were found to be not always synchronized in the gravity field in certain special conditions such as lower engine speed range or small viscous damping. It was concluded that larger viscous damping coefficient can result in an improvement in the synchronization or reduce the range of nonlinear jumps caused by changes in excitation torque.

Further, super-harmonic resonance of CPVA under the gravity field was determined and exact response was calculated, wherein the term “2^nd order response gravity impact factor” was defined. In addition, the effects of CPVA installation angle relative to engine ignition angle were analyzed, and a set of tautochronic epicycloid CPVA was tested to verify the findings. The analytical solutions were consistent with the test results, thereby proving the applicability of the research method and results in a vehicle.

这项研究检查了离心力和重力场影响下的离心摆式减振器 (CPVA) 的性能。重点是确定影响噪音、振动和声振粗糙度 (NVH) 问题的因素，这些问题是由于离心摆式减震器处于低发动机转速（例如发动机启停或怠速）而产生的。因此，利用第二类拉格朗日方程建立数学模型，利用多尺度方法得到解析解，并推导出描述吸收体运动的几个简单的初等数学方程。此外，将解析解与完全非线性运动方程的数值模拟结果进行了比较，

对重力场下四吸二吸的应用进行了理论分析。发现在某些特殊条件下，例如较低的发动机转速范围或较小的粘性阻尼，吸收器在重力场中并不总是同步。得出的结论是，较大的粘性阻尼系数可以改善同步或减少由励磁转矩变化引起的非线性跳跃的范围。

进一步确定了重力场下CPVA的超谐波共振并计算了精确响应，其中定义了“^二阶响应重力影响因子”一词。此外，分析了CPVA安装角相对于发动机点火角的影响，并测试了一组同时外摆线CPVA来验证结果。分析解与试验结果一致，从而证明了研究方法和结果在车辆中的适用性。