MATHEMATICAL METHODS TO FIND OPTIMAL CONTROL OF OSCILLATIONS OF A HINGED BEAM (DETERMINISTIC CASE)

被引：2

作者：

Zrazhevsky, G. ^{[1
]}

Golodnikov, A. ^{[2
]}

Uryasev, S. ^{[3
]}

机构：

[1] Tiaras Shevchenko Natl Univ Kyiv, Kiev, Ukraine

[2] Natl Acad Sci Ukraine, VM Glushkov Inst Cybernet, Kiev, Ukraine

[3] Univ Florida, Gainesville, FL USA

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 2019年 / 55卷 / 06期

关键词：

vibrations; waveform; optimal actuation;

D O I：

10.1007/s10559-019-00211-x

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider several problem statements for the optimal controlled excitation of oscillations of a hinged beam. Oscillations occur under the influence of several external periodic forces. In the simplest statement, it is assumed that the structure of the beam is homogeneous. In a more complex formulation, inhomogeneities (defects) on the beam are allowed. The goal of controlling the oscillations of the beam is to provide a predetermined shape and a predetermined pointwise phase of oscillations in a given frequency range. The problem is to determine the number of forces and their characteristics (application, amplitude, and phase of oscillations), which provide the desired waveform with a given accuracy. With the help of analytical mathematical methods, the problems in question are reduced to simpler multiextremum problems of minimizing basic functionals, which can be numerically solved using the multifunctional package AORDA PSG.

引用

页码：1009 / 1026

页数：18