Energy Flow Analysis of One-Dimensional Structures with Random Properties
In this work, the energy density responses of one-dimensional structures with random properties are investigated analytically. Based on Green kernels, analytical representations of energy density for vibrating rods and beams are proposed using the superposition of energy waves. Considering random pr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8854166 |
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| _version_ | 1832561153074528256 |
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| author | Kun Wang Yu Fu Jiafu Liu Qi Zhang |
| author_facet | Kun Wang Yu Fu Jiafu Liu Qi Zhang |
| author_sort | Kun Wang |
| collection | DOAJ |
| description | In this work, the energy density responses of one-dimensional structures with random properties are investigated analytically. Based on Green kernels, analytical representations of energy density for vibrating rods and beams are proposed using the superposition of energy waves. Considering random properties in rods and beams, formulations of energy density responses are obtained. Then, the mathematical expectations and variances are derived. And response intervals for random responses are developed. Finally, numerical simulations are performed to validate the proposed formulations, and characteristics of the random energy density responses of rods and beams are analysed. The main contribution of this work is that a new approach to energy density responses is proposed which facilitates the vibration analysis of structures with uncertainty parameters. |
| format | Article |
| id | doaj-art-79743e11d16a4181a04cb26e0883cacd |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-79743e11d16a4181a04cb26e0883cacd2025-02-03T01:25:46ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88541668854166Energy Flow Analysis of One-Dimensional Structures with Random PropertiesKun Wang0Yu Fu1Jiafu Liu2Qi Zhang3School of Aeronautics and Astronautics, North China Institute of Aerospace Engineering, Langfang 065000, ChinaBeijing Institute of Astronautical Systems Engineering, Beijing 100076, ChinaSchool of Aeronautics and Astronautics, Sun Yat-Sen University, Guangzhou 510006, ChinaSchool of Aeronautics and Astronautics, North China Institute of Aerospace Engineering, Langfang 065000, ChinaIn this work, the energy density responses of one-dimensional structures with random properties are investigated analytically. Based on Green kernels, analytical representations of energy density for vibrating rods and beams are proposed using the superposition of energy waves. Considering random properties in rods and beams, formulations of energy density responses are obtained. Then, the mathematical expectations and variances are derived. And response intervals for random responses are developed. Finally, numerical simulations are performed to validate the proposed formulations, and characteristics of the random energy density responses of rods and beams are analysed. The main contribution of this work is that a new approach to energy density responses is proposed which facilitates the vibration analysis of structures with uncertainty parameters.http://dx.doi.org/10.1155/2020/8854166 |
| spellingShingle | Kun Wang Yu Fu Jiafu Liu Qi Zhang Energy Flow Analysis of One-Dimensional Structures with Random Properties Shock and Vibration |
| title | Energy Flow Analysis of One-Dimensional Structures with Random Properties |
| title_full | Energy Flow Analysis of One-Dimensional Structures with Random Properties |
| title_fullStr | Energy Flow Analysis of One-Dimensional Structures with Random Properties |
| title_full_unstemmed | Energy Flow Analysis of One-Dimensional Structures with Random Properties |
| title_short | Energy Flow Analysis of One-Dimensional Structures with Random Properties |
| title_sort | energy flow analysis of one dimensional structures with random properties |
| url | http://dx.doi.org/10.1155/2020/8854166 |
| work_keys_str_mv | AT kunwang energyflowanalysisofonedimensionalstructureswithrandomproperties AT yufu energyflowanalysisofonedimensionalstructureswithrandomproperties AT jiafuliu energyflowanalysisofonedimensionalstructureswithrandomproperties AT qizhang energyflowanalysisofonedimensionalstructureswithrandomproperties |