Compliant mechanisms are commonly used in precision engineering while analyzing their deflection is particularly challenging. Often, FEM simulations are chosen in an iterative process. Analytical approaches that consider pure bending, shear or other effects are usually limited to the mechanism as a system. However, certain configurations comprise compliant elements with different aspect ratios. The aim of this paper is to integrate the theories of shear and lateral contraction into a unified form with the existing theory of bending for large deflections and make them applicable individually for specific sections of continuous compliant mechanisms. Recommendations are made as to when which theory should be used. Building on that, a comprehensive tool for analyzing compliant mechanisms developed in Python is introduced. The tool offers the possibility to create arbitrary compliant mechanisms including branched links and various boundary conditions. A tool for parametric studies allows to optimize the given geometry for realizing a specific motion task. Further, FEM and measurement results correlate well with the application results. The presented user interface can be beneficial for the accelerated analysis and synthesis of compliant mechanisms.

兼容机制通常用于精密工程，而分析其偏转尤其具有挑战性。通常，在迭代过程中选择 FEM 模拟。考虑纯弯曲、剪切或其他效应的分析方法通常仅限于作为系统的机制。然而，某些配置包括具有不同纵横比的柔性元件。本文的目的是将剪切和横向收缩理论与现有的大挠度弯曲理论整合成一个统一的形式，并使它们分别适用于连续柔顺机构的特定部分。关于何时应该使用哪种理论提出了建议。在此基础上，引入了一个用于分析 Python 开发的合规机制的综合工具。该工具提供了创建任意兼容机制的可能性，包括分支链接和各种边界条件。用于参数研究的工具允许优化给定的几何形状以实现特定的运动任务。此外，FEM 和测量结果与应用结果有很好的相关性。所呈现的用户界面有利于加速分析和合规机制的综合。