用两点问题模拟纵向弹性体的振动过程

2019 IEEE 14th International Conference on Computer Sciences and Information Technologies (CSIT) Pub Date : 2019-09-01 DOI:10.1109/STC-CSIT.2019.8929786

Z. Nytrebych, V. Ilkiv, O. Malanchuk, P. Pukach

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引用次数: 0

摘要

用带时间两点条件的偏微分方程问题描述了具有已知位置值的一维纵向弹性杆在两个时刻的振动过程。对数学模型的修改使得拟多项式的分类得以区分，而拟多项式对应的问题具有唯一解。提出了一种构造精确解的方法。给出了一些系统的模型实例，并对其中的振荡过程进行了研究。

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On the Modeling of the Oscillating Process of Longitudinal Elastic Body by Two-Point Problem

The oscillating process of an elastic one-dimensional longitudinal body like bar with known values of the body position at two moments of time is described by the problem with conditions two-point in time for partial differential equations. Modification of the mathematical model has allowed to distinguish the class of quasi-polynomials, in which the corresponding problem has an unique solution. A method of constructing an exact solution is proposed. Examples of models of some systems are given and the oscillation processes in them are investigated.

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2019 IEEE 14th International Conference on Computer Sciences and Information Technologies (CSIT)

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