References
- Alexander, J., and B. S. M. Augustine. 2015. Free vibration and damping characteristics of GFRP and BFRP laminated composites at various boundary conditions. Indian Journal of Science and Technology 8 (12):1–7. doi:https://doi.org/10.17485/ijst/2015/v8i12/54208.
- Anderson, T. J., and A. H. Nayafeh. 1996. Natural frequencies and mode shapes of laminated composite plates: Experiments and FEA. Journal of Vibration and Control 2:381–414. doi:https://doi.org/10.1177/107754639600200402.
- Arun Prasath, K., and B. Radha Krishnan. 2010. Mechanical properties of woven fabric Basalt/jute fibre reinforced polymer hybrid composites. International Journal of Mechanical Engineering and Robotics Research 2:279–90.
- ArySubagia, I. D. G., Y. Kim, L. D. Tijing, C. S. Kim, and H. K. Shon. 2015. Effect of stacking sequence on the flexural properties of hybrid composites reinforced with carbon and basalt fibers Composites. Composites Part B: Engineering 58:251–58. doi:https://doi.org/10.1016/j.compositesb.2013.10.027.
- ASTM D2734. 2016. Standard test methods for void content of reinforced plastics, ASTM International, West Conshohocken, PA.
- ASTM D3171. 1999, Standard test methods for constituent content of composite materials, ASTM International, West Conshohocken, PA.
- ASTM D638. 2003, Standard test method for tensile properties of plastics, ASTM International, West Conshohocken, PA.
- ASTM D792. 2013, Standard test methods for density and specific gravity of plastics by displacement, ASTM International, West Conshohocken, PA.
- Basturk, S., H. Uyanik, and Z. Kazanc. 2016. Nonlinear transient response of basalt/nickel FGM composite plates under blast load. Procedia Engineering 167:30–38. doi:https://doi.org/10.1016/j.proeng.2016.11.666.
- Bledzki, A. K., A. Kessler, and A. Chate. 1999. Determination of elastic constants of glass/epoxy unidirectional laminates by the vibration testing of plates. Composite Science and Technology 59 (13):2015–24. doi:https://doi.org/10.1016/S0266-3538(99)00059-7.
- Bozkurt, O. Y., M. Bulut, and O. Ozbek. 2016. Effect of fibre orientations on damping and vibration characteristics of basalt epoxy composite laminates. Proceedings of the World Congress on Civil, Structural, and Environmental Engineering, Prague, Czech Republic 1–6.
- Chen, C. C., S. Kitipornchai, C. M. Lim, and K. M. Liew. 1999. Free vibration of cantilevered symmetrically laminated thick trapezoidal plates. International Journal of Mechanical Sciences 41 (6):685–702. doi:https://doi.org/10.1016/S0020-7403(98)00025-3.
- Chopra, I., and S. Durvasula. 1971. Vibration of Simple-supported Trapezoidal Plates. I. Symmetric Trapezoids. Journal of Sound and Vibration 19:379–92. doi:https://doi.org/10.1016/0022-460X(71)90609-2.
- Chopra, I., and S. Durvasula. 1972. Vibration of Simple-supported Trapezoidal Plates. II. Unsymmetrical Trapezoids. Journal of Sound and Vibration 20:125–34. doi:https://doi.org/10.1016/0022-460X(72)90416-6.
- Civalek, O., and M. Gurses. 2009. Frequency analysis of trapezoidal plates and membrane using discrete singular convolution. Asian Journal of Civil Engineering 9 (6):593–605.
- Crawley, E. F. 1979. The natural modes of graphite/epoxy cantilever plates and shells. Journal of Composite Materials 13:195–205. doi:https://doi.org/10.1177/002199837901300302.
- Eisenberger, M., and A. Deutsch. 2015. A static analysis for exact vibration analysis of clamped plates. International Journal of Science and Research 15 (8):1540030.
- Erasmo, C., E. Eiorenzo, A. Fazzolari, and L. Demasi. 2011. Vibration analysis of anisotropic simply supported plates by using variable kinematic and Rayleigh-Ritz method. Journal of Vibration and Acoustics 13 (6):061017–32.
- Fiore, V., T. Scalici, G. Bella, and A. Valenza. 2015. A review on basalt fibre and its composites. Composites Part B: Engineering 74 (1):74–94. doi:https://doi.org/10.1016/j.compositesb.2014.12.034.
- Grimes, R. G., J. G. Lewis, and H. D. Simon. 1996. A Shifted Block Lanczos algorithm for solving sparse symmetric generalized eigen problems. SIAM Journal on Matrix Analysis and Applications 15 (1):228–72. doi:https://doi.org/10.1137/S0895479888151111.
- Halpin, J. C., and S. W. Tsai. 1967. Effects of environmental factors on Composite Materials, Air Force Technical Report, Wright Aeronautical Laboratories, Dayton.
- Hao, A., H. Zhao, W. Jiang, L. Yuan, and J. Y. Chen. 2012. Mechanical properties of kenaf/polypropylene nonwoven composites. Journal of Polymers and the Environment 20 (4):959–66. doi:https://doi.org/10.1007/s10924-012-0484-8.
- Kamal, K., and S. Durvasula. 1986. Some studies on free vibration of composite laminates. Composite Structures 5 (3):177–202. doi:https://doi.org/10.1016/0263-8223(86)90002-4.
- Keivan, T., and A. Hassan. 2016. Generalized differential quadrature method for vibration analysis of cantilever trapezoidal FG thick plate. Journal of Solid Mechanics 8 (1):184–203.
- Keivan, T., and A. Hassan. 2017. Vibration analysis of a cantilevered trapezoidal moderately thick plate with variable thickness. Engineering Solid Mechanics 5:71–92.
- Lee, J. M., Z. A. Mohd Ishak, R. Mat Taib, T. T. Law, and M. Z. Ahmad Thirmizir. 2013. Mechanical, thermal and water absorption properties of kenaf-fiber-based polypropylene and poly (butylene succinate) composites. Journal of Polymers and the Environment 21 (1):293–302. doi:https://doi.org/10.1007/s10924-012-0516-4.
- Leissa, A. W. 1969. Vibrations of plates. Washington, NASA-SP-160. US Government Printing Office.
- Leissa, A. W., C. S. Huang, and M. J. Chang. 2007. Accurate frequencies and mode shapes for moderately thick, cantilevered, skew plates. International Journal of Structural Stability and Dynamics 7 (3):425–40. doi:https://doi.org/10.1142/S0219455407002356.
- Liew, K. M., and C. W. Lim. 1995. Vibratory characteristics of general laminates, I: Symmetric trapezoids. Journal of Sound and Vibration 183 (4):615–42. doi:https://doi.org/10.1006/jsvi.1995.0276.
- Maeda, T., V. Baburaj, Y. Ito, and T. Koga. 1998. Flexural-Torsional Coupling Effect on Vibration Characteristics of Angle-Ply Laminates. Journal of Sound and Vibration 210 (3):351–65. doi:https://doi.org/10.1006/jsvi.1997.1331.
- Manikandan, V., J. T. W. Jappes, S. M. Suresh Kumar, and P. Amuthakkannan. 2012. Investigation of the effect of surface modifications on the mechanical properties of basalt fibre reinforced polymer composites. Composites Part B: Engineering 43 (2):812–18. doi:https://doi.org/10.1016/j.compositesb.2011.11.009.
- Maruyama, K., O. Ichinomiya, and Y. Narita. 1983. Experimental study of the free vibration of clamped trapezoidal plates. Journal of Sound and Vibration 88 (4):523–34. doi:https://doi.org/10.1016/0022-460X(83)90654-5.
- Mishra, I., and S. K. Sahu. 2015. Modal analysis of woven fiber composite plates with different boundary conditions. International Journal of Science and Research 15 (1):1540001.
- Orris, R. M., and M. Petyt. 1973. A finite element study of the vibration of trapezoidal plates. Journal of Sound and Vibration 27 (3):325–44. doi:https://doi.org/10.1016/S0022-460X(73)80349-9.
- Petruccia, R., C. Santullib, D. Pugliaa, L. Torrea, G. Minakc, J. M. Kennya, L. Torre, G. Minak, and J. M. Kenny. 2015. Impact and post-impact damage characterization of hybrid composite laminates based on basalt fibres in combination with flax, hemp and glass fibres manufactured by vacuum infusion. Composites Part B: Engineering 69:507–15. doi:https://doi.org/10.1016/j.compositesb.2014.10.031.
- Qatu, M. S., N. A. Jaber, and A. W. Leissa. 1993. Natural frequencies for completely free trapezoidal plates. Journal of Sound and Vibration 167 (1):183–91. doi:https://doi.org/10.1006/jsvi.1993.1328.
- Reddy, J. N. 2004. Mechanics of laminated composite plates and shells. theory and analysis. Florida: CRC Press.
- Saliba, H. T. 1998. Transverse free vibration of fully clamped symmetrical trapezoidal plates. Journal of Sound and Vibration 126 (2):237–47. doi:https://doi.org/10.1016/0022-460X(88)90238-6.
- Singha, K. 2012. A short review on basalt fiber. International Journal of Textile Science 1:19–28.
- Srinivasan, R., and S. Velu. 2015. Glass-Jute fiber reinforced epoxy composite. International Journal of Science and Research 4 (4):1714–17.
- Sun, B., Z. Niu, L. Zhu, and B. Gu. 2010. Mechanical behaviors of 2D and 3D basalt fiber woven composites under various strain rates. Journal of Composite Materials 44 (14):1779–95. doi:https://doi.org/10.1177/0021998309360945.
- Topal, U. 2009. Frequency optimization of laminated general quadrilateral and trapezoidal thin plates. Materials & Design 30 (9):3643–52. doi:https://doi.org/10.1016/j.matdes.2009.02.014.
- Venkateshwaran, N., A. ElayaPerumal, and R. H. Arwin Raj. 2012. Mechanical and dynamic mechanical analysis of woven banana/epoxy. composites. Journal of Polymers and the Environment 20 (2):565–72. doi:https://doi.org/10.1007/s10924-011-0410-5.
- Watts, G., S. Pradyumna, and M. K. Singha. 2017. Nonlinear analysis of quadrilateral composite plates using moving kriging based element free Galerkin method. Composite Structures 159:719–27. doi:https://doi.org/10.1016/j.compstruct.2016.09.100.
- Wei, B., H. Cao, and S. Song. 2010. Environmental resistance and mechanical performance of basalt and glass fibers. Material Science and Engineering: A 527:4708–5715. doi:https://doi.org/10.1016/j.msea.2010.04.021.
- Wu, G., X. Wang, Z. Wu, Z. Dong, and G. Zhang. 2014. Durability of basalt fibers and composites in corrosive environments. Journal of Composite Materials 49 (7):873–87. doi:https://doi.org/10.1177/0021998314526628.
- Xiaohui, R., and C. Wanji. 2011. Free vibration analysis of laminated and sandwich plates using quadrilateral element based on an improved zig-zag Theory. Journal of Composite Materials 45 (21):2173–87. doi:https://doi.org/10.1177/0021998311401070.
- Zhao, Z., C. Feng, Y. Wang, and J. Yang. 2017. Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs). Composite Structures 80:799–808. doi:https://doi.org/10.1016/j.compstruct.2017.08.044.