非线性力学及其现状

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一、非线性力学发展简况“科学的发生与发展,一开始就是由生产决定的”。“非线性力学的发展正如其它科学一样,也是由生产的发展所推动的,同时它又反过来对生产实践起着重要的指导作用。人们随着生产的发展,逐渐认识到不能局限于线性理论的范围,必须深入到非线性领域中去。世界上第一个明确提出非线性问题的是Von Karman。1940年,Von Karman在美国航空科学年会报告中指出:“现在力学最大的缺陷是仅仅停留在线性化的基础上,而工程实际问题需要非线性理论。”与此同时,他提出了一些当时难以解决的非线性问题。该报告后来发表在美国数学学会会报上,引起了人们对非线性问题的注意,也吸引了一些数学工作者 First, the development of nonlinear mechanics “The occurrence and development of science, from the beginning is determined by the production.” “The development of nonlinear mechanics, like other sciences, is also driven by the development of production. At the same time, it plays an important guiding role in production practice. As people’s production progresses, they gradually realize that they cannot be confined to linear theory. The scope must go deep into the non-linear domain.The world’s first non-linear problem is Von Karman. In 1940, Von Karman pointed out in the report of the American Aeronautical Science Annual Conference: ”The biggest flaw in mechanics is that Staying on the basis of linearization, practical problems in engineering require nonlinear theory. At the same time, he proposed some non-linear problems that were difficult to solve at the time. The report was later published in the report of the American Mathematical Society and caused people’s attention to non-linear problems. It also attracted some mathematicians.
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