The present work is devoted to analyze the kinematics of twin lip vanes adopted in balanced vane pumps. The work provides the analytical description of the vane motion according to its geometrical parameters and the cam ring profile. Attention is given to the duality of the solution, an intrinsic property of twin lip vanes that may be considered as followers with two symmetrical half-circular tips. Based on the linkage kinematics, the analytical dissertation is further deepened to define the geometrical admissibility of the vane design and its mathematical domain. In order to evaluate the proposed approach, an extended parametric study is performed on the basis of the Buckingham theorem, detailing how the twin lip configuration affects the machine kinematics. Additional calculations are proposed to determine the vane design configurations that satisfy the fundamental law of cam design and to highlight how this requirement dramatically reduces the subset of available choices in presence of cam ring with a precompression profile. Finally, design guidelines are proposed in order to overcome these drawbacks and expand the admissibility domain.

目前的工作致力于分析平衡叶片泵中采用的双唇叶片的运动学。这项工作根据其几何参数和凸轮环轮廓提供了叶片运动的分析描述。注意解的二元性，这是双唇叶片的固有特性，可以将其视为具有两个对称半圆形尖端的从动件。在联动运动学的基础上，进一步深化了解析论文，定义了叶片设计的几何可接受性及其数学域。为了评估所提出的方法，在白金汉定理的基础上进行了扩展参数研究，详细说明了双唇配置如何影响机器运动学。提出了额外的计算来确定满足凸轮设计基本定律的叶片设计配置，并强调在存在具有预压缩轮廓的凸轮环的情况下，该要求如何显着减少可用选择的子集。最后，提出了设计指南以克服这些缺点并扩展可接纳域。