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机构地区:[1]华南理工大学理学院数学系,广东广州510640
出 处:《数学的实践与认识》2011年第14期125-130,共6页Mathematics in Practice and Theory
摘 要:为了精确求解落水重物的运动轨迹,首先根据力学原理建立一个数学模型,接着利用最优化理论求解该模型,并与试验的结果进行对照.结果表明,数值模拟所得重物的下沉轨迹与试验存在一定的差距.为此,提出了一种改进模型的办法,即在原来模型的基础上加入噪声.带噪声的模型拟合所得值与试验吻合较好,从而验证了模型的可靠性和精度,可应用于实际的溃口封堵重物运动过程的数值模拟.In order to accurately track the movement of heavy objects falling into the water, this paper, based on a mathematical model of mechanics, uses optimization theory to solve the model as well as comparing the results with the test. The results show that the weight of the sinking from numerical simulation and test track there is a certain gap. To this end, this paper presents an improved model, that is, to improve the original model by adding noise. The modle,fitted with a noise, is in good agreement with the experimental values obtained. Moreover, it verifies the reliability and accuracy of the model, which can be applied to the actual breach closure of the numerical simulation of heavy movement.
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