Analysis of Dynamic Response Mechanism of Roadway Bolt
This work elucidates dynamic control equations of the anchoring system and the derivation of displacement equations and corresponding vibration modes. Furthermore, the anchoring system is found to be composed of three different vibration modes: (1) when ω < (k1/ρ1A1)1/2, the vibration mode of the...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/5560075 |
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| _version_ | 1832549150528372736 |
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| author | Qinjian Zhan Xigui Zheng Niaz Muhammad Shahani Xiao Tan Tao Li Jiping Du |
| author_facet | Qinjian Zhan Xigui Zheng Niaz Muhammad Shahani Xiao Tan Tao Li Jiping Du |
| author_sort | Qinjian Zhan |
| collection | DOAJ |
| description | This work elucidates dynamic control equations of the anchoring system and the derivation of displacement equations and corresponding vibration modes. Furthermore, the anchoring system is found to be composed of three different vibration modes: (1) when ω < (k1/ρ1A1)1/2, the vibration mode of the anchoring section is an exponential function; (2) when ω = (k1/ρ1A1)1/2, the vibration mode of the anchoring section is a parabolic function; (3) when ω > (k1/ρ1A1)1/2, the vibration mode of the anchoring section is a trigonometric function, while all the free sections are trigonometric functions. With an increase of frequency, the amplitude of the bolt exhibits multipeak distribution characteristics and an intermittent amplification phenomenon. When the frequency reaches a certain value, the bolt of the free section exhibits only the amplified state. Under dynamic load, the amplitude of the bolt increases from end of bolt to the maximum in the root. On the other hand, when the frequency is low, the peak position of the roof bolt is stable, and the excitation wave component is the main influencing factor of the peak value of axial force at the root of the bolt, independent of frequency. When the frequency is relatively high, the peak value of the axial force is stable at the interface, and the higher the frequency, the greater the peak value of axial force. Axial force of the bolt has responded strongly to the frequency at the interface, and the farther away from the interface, the weaker the response. |
| format | Article |
| id | doaj-art-25934bf8b1474b2cafe359008b3b16e4 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-25934bf8b1474b2cafe359008b3b16e42025-02-03T06:11:57ZengWileyAdvances in Civil Engineering1687-80861687-80942021-01-01202110.1155/2021/55600755560075Analysis of Dynamic Response Mechanism of Roadway BoltQinjian Zhan0Xigui Zheng1Niaz Muhammad Shahani2Xiao Tan3Tao Li4Jiping Du5Architectural Engineering Institute, Guangdong University of Petrochemical Technology, Maoming 525000, ChinaSchool of Mines, China University of Mining and Technology, Xuzhou 221116, Jiangsu, ChinaSchool of Mines, China University of Mining and Technology, Xuzhou 221116, Jiangsu, ChinaArchitectural Engineering Institute, Guangdong University of Petrochemical Technology, Maoming 525000, ChinaCoal Industry Taiyuan Design and Research Institute Group Co., Ltd., Taiyuan 030000, ChinaSchool of Mines, China University of Mining and Technology, Xuzhou 221116, Jiangsu, ChinaThis work elucidates dynamic control equations of the anchoring system and the derivation of displacement equations and corresponding vibration modes. Furthermore, the anchoring system is found to be composed of three different vibration modes: (1) when ω < (k1/ρ1A1)1/2, the vibration mode of the anchoring section is an exponential function; (2) when ω = (k1/ρ1A1)1/2, the vibration mode of the anchoring section is a parabolic function; (3) when ω > (k1/ρ1A1)1/2, the vibration mode of the anchoring section is a trigonometric function, while all the free sections are trigonometric functions. With an increase of frequency, the amplitude of the bolt exhibits multipeak distribution characteristics and an intermittent amplification phenomenon. When the frequency reaches a certain value, the bolt of the free section exhibits only the amplified state. Under dynamic load, the amplitude of the bolt increases from end of bolt to the maximum in the root. On the other hand, when the frequency is low, the peak position of the roof bolt is stable, and the excitation wave component is the main influencing factor of the peak value of axial force at the root of the bolt, independent of frequency. When the frequency is relatively high, the peak value of the axial force is stable at the interface, and the higher the frequency, the greater the peak value of axial force. Axial force of the bolt has responded strongly to the frequency at the interface, and the farther away from the interface, the weaker the response.http://dx.doi.org/10.1155/2021/5560075 |
| spellingShingle | Qinjian Zhan Xigui Zheng Niaz Muhammad Shahani Xiao Tan Tao Li Jiping Du Analysis of Dynamic Response Mechanism of Roadway Bolt Advances in Civil Engineering |
| title | Analysis of Dynamic Response Mechanism of Roadway Bolt |
| title_full | Analysis of Dynamic Response Mechanism of Roadway Bolt |
| title_fullStr | Analysis of Dynamic Response Mechanism of Roadway Bolt |
| title_full_unstemmed | Analysis of Dynamic Response Mechanism of Roadway Bolt |
| title_short | Analysis of Dynamic Response Mechanism of Roadway Bolt |
| title_sort | analysis of dynamic response mechanism of roadway bolt |
| url | http://dx.doi.org/10.1155/2021/5560075 |
| work_keys_str_mv | AT qinjianzhan analysisofdynamicresponsemechanismofroadwaybolt AT xiguizheng analysisofdynamicresponsemechanismofroadwaybolt AT niazmuhammadshahani analysisofdynamicresponsemechanismofroadwaybolt AT xiaotan analysisofdynamicresponsemechanismofroadwaybolt AT taoli analysisofdynamicresponsemechanismofroadwaybolt AT jipingdu analysisofdynamicresponsemechanismofroadwaybolt |