人造系统动力学多元系统传递矩阵法初探

Preliminary exploration on the multi-element system transfer matrix method for artificial system dynamics

人造系统也称人工系统,是人类为了达到某种目的而构造的系统,例如各种加工系统、运输系统、电力系统、机械系统、武器系统等.现代科学、技术和工程已发展到从全系统动力学角度分析、提高人造系统设计、加工、试验、评估和运用全生命周期能力,以获得期望性能的工程产品的高级阶段,其目标是建立精确的人造系统动力学数学模型并对其快速数值求解,从而准确、快速地预测和提高系统性能[1].坦克、舰艇、飞机、运载火箭、卫星、汽车、高铁、发电机、电动机、精密机床等各种现代人造系统发展,推动了科技和人类文明进步,是一个国家重大战略布局和综合实力的象征,是国计民生和国家安全的关键标志.由于缺乏先进的人造系统动力学快速计算等理论与软件,现代人造系统发展至今仍面临提高设计性能、提高加工质量、降低试验评估成本、保障运用安全的严峻挑战.

The artificial systems,such as various machining systems,transportation systems,power systems,mechanical systems,weapon systems,etc.,are constructed to achieve a certain purpose.Modern science,technology,and engineering have reached advanced levels of analyzing,and improving capabilities of design,manufacturing,testing,evaluation,and utilization during the whole lifecycle of artificial systems,from the perspective of whole-system dynamics,in order to obtain engineering products with expected performance.The goal is to establish accurate mathematical models of artificial system dynamics and obtain efficient numerical solution to accurately and quickly predict and improve the system performance.For the most typical mechanical systems of artificial systems,their system dynamics models can be modeled as multibody systems.The conventional multibody system dynamics methods use system global dynamics equations formed by either differential equations or differential-algebraic equations to study multibody system dynamics.When dealing with practical and complex engineering applications,the conventional approaches lead to coefficient matrices with large dimensions that negatively impact computational speed and cannot satisfy the requirement of system dynamics design,due to the computational speed is usually inversely proportional to the third power of the matrix order.The multibody system transfer matrix method(MSTMM),also known internationally as“Rui method”,which was firstly proposed by Xiaoting Rui in 1993 for mechanical system dynamics,is a novel multibody system dynamics method.By identifying and using state vectors in mechanical systems that exist strictly linear transfer laws,the multibody system dynamics study pattern with system global dynamics equations was replaced by using modular modeling of system and element transfer equations,leading to the breakthrough of the technical bottleneck that the system matrix order increases with the increase of system degrees of freedom,thereby resulting in significant reduction of the computational cost.The MSTMM not only greatly simplifies the multibody system dynamics analysis process,but also significantly decreases the system matrix order,and thus drastically increases the computational speed.During the past three decades of continuous development and improvement,the MSTMM has been extensively applied into the design,manufacturing,testing,evaluation,and utilization of about 150 kinds of complex mechanical systems.Aiming to the common urgent need for efficient dynamics modeling and computation faced by various artificial systems,such as mechanics,acoustics,optics,electricity,magnetism,and thermodynamics,the paper summarizes and draws on the basic principles of the MSTMM for studying mechanical system dynamics,and explores the basic idea of expanding the MSTMM to the multi-element system transfer matrix method for studying general artificial system dynamics.It will provide a new and efficient study mode for artificial system dynamics,which will replace high-order system global dynamics equations with low-order transfer equations,and will provide a powerful means for efficient modeling and simulation of artificial system dynamics,thereby improving the capabilities of design,manufacturing,testing,evaluation,and utilization for various artificial systems.