Beam-based Compliant Mechanisms (CMs) are increasingly studied and implemented in precision engineering. Straight beams with uniform cross section are the basic modules in several design concepts, which can be deemed as standard CMs. Their behavioral analysis can be addressed with a large variety of techniques, including the Euler–Bernoulli beam theory, the Pseudo-Rigid Body (PRB) method, the beam constraint model and the discretization-based methods. This variety is unquestionably reduced when considering nonstandard CMs, namely design problems involving special geometries, such as curve/spline beams, variable section beams, nontrivial shapes and contact pairs. The 3D Finite Element Analysis (FEA) provides accurate results but its high computational cost makes it inappropriate for optimization purposes. This work compares the potentialities of computationally efficient modeling techniques (1D FEA, PRB method and chained-beam constraint model), focusing on their applicability in nonstandard planar problems. The cross-axis flexural pivot is used as a benchmark in this research due to its high configurable behavior and wide range of applications. In parallel, as an attempt to provide an easy-to-use environment for CM analysis and design, a multi-purpose tool comprising Matlab and a set of modern Computer-Aided Design/Engineering packages is presented. The framework can implement different solvers depending on the adopted behavioral models. Summary tables are reported to guide the designers in the selection of the most appropriate technique and software framework. Lastly, efficient design procedures that allow to configure nonstandard beam-based CMs with prescribed behavior are examined with two design examples.

基于波束的顺应性机制（CMs）在精密工程中得到了越来越多的研究和实施。横截面均匀的直梁是几种设计概念中的基本模块，可以视为标准CM。他们的行为分析可以通过多种技术来解决，包括欧拉-伯努利梁理论，伪刚体（PRB）方法，梁约束模型和基于离散化的方法。当考虑使用非标准CM时，无疑会减少这种变化，即涉及特殊几何形状的设计问题，例如曲线/样条梁，可变截面梁，非平凡形状和接触对。3D有限元分析（FEA）可提供准确的结果，但其高昂的计算成本使其不适用于优化目的。这项工作比较了计算有效建模技术（一维有限元分析，PRB方法和链束约束模型）的潜力，重点是它们在非标准平面问题中的适用性。跨轴挠性枢轴由于其可配置的行为和广泛的应用而被用作本研究的基准。同时，作为一种为CM分析和设计提供易于使用的环境的尝试，提出了一种包含Matlab和一套现代计算机辅助设计/工程软件包的多功能工具。该框架可以根据所采用的行为模型来实现不同的求解器。报告了汇总表，以指导设计人员选择最合适的技术和软件框架。最后，