The centrifugal pendulum vibration absorber (CPVA) is a device whose purpose is the reduction in torsional vibrations in rotating and reciprocating machinery. Over the last decades, CPVA nonlinear behavior has been thoroughly investigated. In particular, the performance and the local stability of cycloidal, epicycloidal and tautochronic CPVAs have been extensively analyzed. In this paper, on the basis of intrinsic geometry and higher-path curvature theory, a novel and unified modeling approach for the design of a parametric family of CPVAs, herein named \(\lambda \)-CPVA, is proposed. In the first part, the intrinsic geometry framework is applied to derive CPVA equations of motions in terms of higher-order curvature ratios of the damper path. Then, the same approach is extended to describe the curvature kinematics of the rollers of a parallel bifilar pendulum. In the second part, a new family of parametric curves in \({\mathbb {R}}^3\), denoted as \(\lambda \)-curves, is introduced. This allows a fine adjustment of CPVA nonlinear dynamics to the design requirements. In the third part, the numerical comparison of the performance and the stability limits between the cycloidal, tautochronic pendula and \(\lambda \)-CPVA are presented. Finally, the \(\lambda \)-CPVA analytical model is more accurately simulated with a multibody dynamics approach. The design analysis framework herein proposed increases the dimension of the solution space and opens new possibilities of tailoring the CPVA performance to the specific application.

离心摆式减振器（CPVA）是一种旨在减少旋转和往复式机械中的扭转振动的装置。在过去的几十年中，已经对CPVA非线性行为进行了深入研究。特别是，摆线，外摆线和自时变CPVA的性能和局部稳定性已得到广泛分析。本文基于内在几何学和高路径曲率理论，设计了一种新颖且统一的建模方法，用于设计CPVA参数族，这里称为\（\ lambda \）-CPVA，建议。在第一部分中，本征几何框架用于根据阻尼器路径的高阶曲率比率导出CPVA运动方程。然后，扩展了相同的方法来描述平行双线摆的滚子的曲率运动学。在第二部分中，介绍了\（{\ mathbb {R}} ^ 3 \）中的新参数曲线系列，表示为\（\ lambda \）-曲线。这样可以根据设计要求对CPVA非线性动力学进行微调。第三部分介绍了摆线，自转摆和\（\ lambda \）- CPVA的性能和稳定性极限的数值比较。最后，\（\ lambda \）-CPVA分析模型可以通过多体动力学方法更准确地模拟。本文提出的设计分析框架增加了解决方案空间的规模，并为针对特定应用定制CPVA性能开辟了新的可能性。