Efficient modelling and simulation of mechanical systems

这项提议是对之前与CMLabs模拟的成功合作的延续。它建立在这一协作的前几个项目中取得的成果的基础上。我们将继续并扩大这项工作，以研究工程机械、起重机和港口设备、机器人机床和操作等大型机械系统的动力学建模和仿真中的一些重要且具有挑战性的问题。在我们的工作中，我们将特别侧重于进一步开发和实施机械系统模型的一般公式。在这一框架中，系统要素可以通过双边和单边相互作用相互联系，这些相互作用可由约束或构成关系表示。我们将开发和实现数学模型、技术和算法，这些都是通过这个公式实现的。我们还将研究数值求解算法的可行性和性能，因为它们与不同的模型形式有关。在该项目中，我们计划培训一组16名总部基地实习生。拟议的工作将被组织成三组活动，这些活动有几个互联点。我们预计工作的结果将产生重要的研究成果，将对加拿大经济做出强有力的贡献。模拟和虚拟环境产业在魁北克有着深厚的根基。预期的结果将进一步加强这一工业部门，并将为新的商业机会创造基础，并有助于创造新的就业机会。这将对我们的合作伙伴CMLabs Simulations Inc.和整个加拿大社会产生重大好处。

This proposal is a continuation of the previous successful collaboration with CMLabs Simulations. It builds on the results achieved in the previous projects of this collaboration. We will continue and expand the work to investigate some of the important, challenging problems in dynamics modelling and simulation of large-scale mechanical systems such as construction machinery, cranes and port equipment, robotic workcells and operations. In our work we will specifically focus on the further development and implementation of a general formulation of mechanical system models. In this framework the system elements can be connected to each other through bilateral and unilateral interactions that are representable by constraints or constitutive relations. We will develop and implement mathematical models, techniques, and algorithms that are made possible by this formulation. We will also investigate the feasibility and performance of numerical solution algorithms asthey pertain to the different model forms. In the project we plan to train a group of 16 HQP trainees. The proposed work will be structured into three groups of activities that have several interconnection points.\ We expect that the results of the work will produce important research findings that will strongly contribute to the Canadian economy. The simulations and virtual environments industry has strong roots in Quebec. The expected results will further strengthen this industrial sector, and will generate the basis for new business opportunities and contribute to the creation of new jobs. This will be of significant benefit to our partner, CMLabs Simulations Inc., and the Canadian society at large.