Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular Plates
Significant advances in the field of composite structures continue to be made on a variety of fronts, including theoretical studies based on advances in structural theory kinematics and computer models of structural elements employing advanced theories and unique formulations. Plate vibration is a p...
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MDPI AG
2022-08-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/15/16/5559 |
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| author | Ahmad Saood Arshad Hussain Khan Md. Israr Equbal Kuldeep K. Saxena Chander Prakash Nikolay Ivanovich Vatin Saurav Dixit |
| author_facet | Ahmad Saood Arshad Hussain Khan Md. Israr Equbal Kuldeep K. Saxena Chander Prakash Nikolay Ivanovich Vatin Saurav Dixit |
| author_sort | Ahmad Saood |
| collection | DOAJ |
| description | Significant advances in the field of composite structures continue to be made on a variety of fronts, including theoretical studies based on advances in structural theory kinematics and computer models of structural elements employing advanced theories and unique formulations. Plate vibration is a persistently interesting subject owing to its wider usage as a structural component in the industry. The current study was carried out using the C<sup>o</sup> continuous eight-noded quadrilateral shear-flexible element having five nodal degrees of freedom, which is ground on first-order shear deformation theory (FSDT). For small strain and sufficiently large deformation, the geometric nonlinearity is integrated using the Von Kármán assumption. The governing equations in the time domain are solved employing the modified shooting technique along with an arc-length and pseudo-arc-length continuation strategy. This work explored the effect of fiber angle on the steady-state nonlinear forced vibration response. To explain hardening nonlinearity, the strain and stress fluctuation throughout the thickness for a rectangular laminated composite plate is determined. The cyclic fluctuation of the steady-state nonlinear normal stress during a time period at the centre of the top/bottom surfaces is also provided at the forcing frequency ratio of peak amplitude in a nonlinear response. Because of the variation in restoring forces, the frequency spectra for all fiber angle orientations show significantly enhanced harmonic participation in addition to the fundamental harmonic. |
| first_indexed | 2024-03-09T09:54:53Z |
| format | Article |
| id | doaj.art-f805df29ff5b48359c2985029cc91ea3 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T09:54:53Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-f805df29ff5b48359c2985029cc91ea32023-12-01T23:56:11ZengMDPI AGMaterials1996-19442022-08-011516555910.3390/ma15165559Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular PlatesAhmad Saood0Arshad Hussain Khan1Md. Israr Equbal2Kuldeep K. Saxena3Chander Prakash4Nikolay Ivanovich Vatin5Saurav Dixit6Mechanical Engineering Section, Faculty of Engineering & Technology, University Polytechnic, AMU, Aligarh 202002, IndiaDepartment of Mechanical Engineering, ZHCET, AMU, Aligarh 202002, IndiaMechanical Engineering Section, Faculty of Engineering & Technology, University Polytechnic, AMU, Aligarh 202002, IndiaDepartment of Mechanical Engineering, GLA University, Mathura 281406, IndiaSchool of Mechanical Engineering, Lovely Professional University, Phagwara 144001, IndiaPeter the Great St. Petersburg Polytechnic University, 195251 Saint Petersburg, RussiaDivision of Research & Innovation, Uttaranchal University, Dehradun 248007, IndiaSignificant advances in the field of composite structures continue to be made on a variety of fronts, including theoretical studies based on advances in structural theory kinematics and computer models of structural elements employing advanced theories and unique formulations. Plate vibration is a persistently interesting subject owing to its wider usage as a structural component in the industry. The current study was carried out using the C<sup>o</sup> continuous eight-noded quadrilateral shear-flexible element having five nodal degrees of freedom, which is ground on first-order shear deformation theory (FSDT). For small strain and sufficiently large deformation, the geometric nonlinearity is integrated using the Von Kármán assumption. The governing equations in the time domain are solved employing the modified shooting technique along with an arc-length and pseudo-arc-length continuation strategy. This work explored the effect of fiber angle on the steady-state nonlinear forced vibration response. To explain hardening nonlinearity, the strain and stress fluctuation throughout the thickness for a rectangular laminated composite plate is determined. The cyclic fluctuation of the steady-state nonlinear normal stress during a time period at the centre of the top/bottom surfaces is also provided at the forcing frequency ratio of peak amplitude in a nonlinear response. Because of the variation in restoring forces, the frequency spectra for all fiber angle orientations show significantly enhanced harmonic participation in addition to the fundamental harmonic.https://www.mdpi.com/1996-1944/15/16/5559compositenonlinear forced vibrationshooting techniquesteady-state |
| spellingShingle | Ahmad Saood Arshad Hussain Khan Md. Israr Equbal Kuldeep K. Saxena Chander Prakash Nikolay Ivanovich Vatin Saurav Dixit Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular Plates Materials composite nonlinear forced vibration shooting technique steady-state |
| title | Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular Plates |
| title_full | Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular Plates |
| title_fullStr | Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular Plates |
| title_full_unstemmed | Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular Plates |
| title_short | Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular Plates |
| title_sort | influence of fiber angle on steady state response of laminated composite rectangular plates |
| topic | composite nonlinear forced vibration shooting technique steady-state |
| url | https://www.mdpi.com/1996-1944/15/16/5559 |
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