Dynamic Force Identification Problem Based on a Novel Improved Tikhonov Regularization Method
| Autor: | Chunsheng Liu, Nengjian Wang, Qinhui Liu, Chunping Ren |
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| Rok vydání: | 2019 |
| Předmět: |
Article Subject
Series (mathematics) Computer science lcsh:Mathematics General Mathematics Numerical analysis General Engineering 010103 numerical & computational mathematics 02 engineering and technology lcsh:QA1-939 01 natural sciences Convolution Domain (software engineering) Tikhonov regularization Parameter identification problem Noise Matrix (mathematics) 020303 mechanical engineering & transports 0203 mechanical engineering lcsh:TA1-2040 Kernel (statistics) Force dynamics Applied mathematics 0101 mathematics lcsh:Engineering (General). Civil engineering (General) |
| Zdroj: | Mathematical Problems in Engineering, Vol 2019 (2019) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2019/6095184 |
| Popis: | The main purpose of this paper is to identify the dynamic forces between the conical pick and the coal-seam. According to the theory of time domain method, the dynamic force identification problem of the system is established. The direct problem is described by Green kernel function method. The dynamic force is expressed by a series of functions superposed by impulses, and the dynamic response of the structure is expressed as a convolution integral form between the input dynamic force and the response of Green kernel function. Because of the ill-conditioned characteristics of the structure matrix and the influence of measurement noise in the process of dynamic force identification, it is difficult to deal with this problem by the usual numerical method. In present content, a novel improved Tikhonov regularization method is proposed to solve ill-posed problems. An engineering example shows that the proposed method is effective and can obtain stable approximate solutions to meet the engineering requirements. |
| Databáze: | OpenAIRE |
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