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PREDICTION COMPARISONS BETWEEN NON-LINEAR AND LINEAR MODELS FOR DYNAMICS ENHANCED EDUCATION

机译:动态增强教育非线性和线性模型的预测比较

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In previous works examples were given illustrating benefits of introducing modem software, such as MAPLE, into undergraduate and beginning graduate mechanics courses. There are many articles on the use of simulation in engineering education. For example, Fraser et al. give a very informative and useful discussion on the use of simulations in fluid mechanics. Student difficulties were assessed using questions from the Fluid Mechanics Concepts Inventory (FMCI). The impact of the simulation was assessed using a second administration of the FMCI. Similar work could probably be done using the Dynamics Concept Inventory of Gray et al. However that is not the goal of the present work, which is to enlarge and augment presentations given in most standard texts. For example consider the amplitude of resonant motions as given by a linear damped model. Are the traditional predictions accurate? Since near resonance the underlying equations are non-linear, substantial differences from the linear model may (and usually are) found.
机译:在以前的作用中,举例说明了将调制解调器软件(如枫树)引入本科和开始研究生机械课程的益处。有很多关于在工程教育中使用模拟的文章。例如,Fraser等人。提供关于在流体力学中使用模拟的信息和有用的讨论。使用流体力学概念库存(FMCI)的问题评估学生困难。使用第二次施用FMCI评估模拟的影响。可以使用灰色等人的动态概念清单来完成类似的工作。然而,这不是目前工作的目标,即扩大和增强在大多数标准文本中给出的演示。例如,考虑由线性阻尼模型给出的谐振运动的幅度。传统的预测是否准确?由于近谐振底层方程是非线性的,因此可以找到与线性模型的显着差异(通常是)。

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