Stochastic critical buckling speed analysis of rim-driven rotating composite plate using NURBS-based isogeometric approach and HSDT

References

• Aksencer, T., and M. Aydogdu. 2019. “Vibration of a Rotating Composite Beam Clamped-off the Axis of Rotation.” Composite Structures 225: 111174. https://doi.org/10.1016/j.compstruct.2019.111174)
   Web of Science ®Google Scholar
• Amouzgar, K., and N. Strömberg. 2017. “Radial Basis Functions as Surrogate Models with a Priori Bias in Comparison with a Posteriori Bias.” Structural and Multidisciplinary Optimization 55 (4): 1453–1469. https://doi.org/10.1007/s00158-016-1569-0
   Web of Science ®Google Scholar
• Ansari, E., A. Setoodeh, and T. Rabczuk. 2020. “Isogeometric-Stepwise Vibrational Behavior of Rotating Functionally Graded Blades with Variable Thickness at an Arbitrary Stagger Angle Subjected to Thermal Environment.” Composite Structures 244: 112281. https://doi.org/10.1016/j.compstruct.2020.112281
   Web of Science ®Google Scholar
• Bhumbla, R., and J. Kosmatka. 1993. “Stability of Spinning Shear-Deformable Laminated Composite Plates.” Journal of Sound and Vibration 163 (1): 83–99. https://doi.org/10.1006/jsvi.1993.1150
   Google Scholar
• Chandrakar, P., N. Sharma, and D. K. Maiti. 2023a. “Damage-Induced Buckling Characteristics of Thermally Loaded Variable Angle Tow Laminated Plates under Uncertain Environment.” European Journal of Mechanics - A/Solids 103: 105188. https://doi.org/10.1016/j.euromechsol.2023.105188
   Web of Science ®Google Scholar
• Chandrakar, P., N. Sharma, and D. K. Maiti. 2023b. “Stochastic Buckling Response of Variable Fiber Spacing Composite Plate under Thermal Environment.” Journal of Composite Materials 57 (24): 3821–3839. https://doi.org/10.1177/00219983231191585
   Web of Science ®Google Scholar
• Chowdhury, R., B. Rao, and A. M. Prasad. 2009. “High-Dimensional Model Representation for Structural Reliability Analysis.” Communications in Numerical Methods in Engineering 25 (4): 301–337. https://doi.org/10.1002/cnm.1118
   Web of Science ®Google Scholar
• Cottrell, J., T. Hughes, and A. Reali. 2007. “Studies of Refinement and Continuity in Isogeometric Structural Analysis.” Computer Methods in Applied Mechanics and Engineering 196 (41–44): 4160–4183. https://www.sciencedirect.com/science/article/pii/S0045782507001703. https://doi.org/10.1016/j.cma.2007.04.007
   Web of Science ®Google Scholar
• Das, D. 2017. “Free Vibration and Buckling Analyses of Geometrically Non-Linear and Shear-Deformable Fgm Beam Fixed to the inside of a Rotating Rim.” Composite Structures 179: 628–645. https://doi.org/10.1016/j.compstruct.2017.07.051
   Web of Science ®Google Scholar
• Dash, R. C., N. Sharma, D. K. Maiti, and B. N. Singh. 2022. “Uncertainty Analysis of Galloping Based Piezoelectric Energy Harvester System Using Polynomial Neural Network.” Journal of Intelligent Material Systems and Structures 33 (16): 2019–2032. https://doi.org/10.1177/1045389X211072519
   Web of Science ®Google Scholar
• Da Veiga, L. B., A. Buffa, C. Lovadina, M. Martinelli, and G. Sangalli. 2012. “An Isogeometric Method for the Reissner–Mindlin Plate Bending Problem.” Computer Methods in Applied Mechanics and Engineering 209–212: 45–53. https://doi.org/10.1016/j.cma.2011.10.009
   Web of Science ®Google Scholar
• Deng, J., F. Chen, X. Li, C. Hu, W. Tong, Z. Yang, and Y. Feng. 2008. “Polynomial Splines over Hierarchical t-Meshes.” Graphical Models 70 (4): 76–86. https://doi.org/10.1016/j.gmod.2008.03.001
   Google Scholar
• Dey, S., T. Mukhopadhyay, and S. Adhikari. 2015a. “Stochastic Free Vibration Analyses of Composite Shallow Doubly Curved Shells–a Kriging Model Approach.” Composites Part B: Engineering 70: 99–112. https://doi.org/10.1016/j.compositesb.2014.10.043
   Web of Science ®Google Scholar
• Dey, S., T. Mukhopadhyay, and S. Adhikari. 2015b. “Stochastic Free Vibration Analysis of Angle-Ply Composite Plates–a rs-Hdmr Approach.” Composite Structures 122: 526–536. https://doi.org/10.1016/j.compstruct.2014.09.057}
   Web of Science ®Google Scholar
• Dey, S., S. Naskar, T. Mukhopadhyay, U. Gohs, A. Spickenheuer, L. Bittrich, S. Sriramula, S. Adhikari, and G. Heinrich. 2016. “Uncertain Natural Frequency Analysis of Composite Plates Including Effect of Noise–a Polynomial Neural Network Approach.” Composite Structures 143: 130–142. https://doi.org/10.1016/j.compstruct.2016.02.007
   Web of Science ®Google Scholar
• Guimarães, T. A., H. L. Silva, D. A. Rade, and C. E. Cesnik. 2020. “Aeroelastic Stability of Conventional and Tow-Steered Composite Plates under Stochastic Fiber Volume.” AIAA Journal 58 (6): 2748–2759. https://doi.org/10.2514/1.J059106
   Web of Science ®Google Scholar
• Hughes, T. J., J. A. Cottrell, and Y. Bazilevs. 2005. “Isogeometric Analysis: Cad, Finite Elements, Nurbs, Exact Geometry and Mesh Refinement.” Computer Methods in Applied Mechanics and Engineering 194 (39–41): 4135–4195. https://doi.org/10.1016/j.cma.2004.10.008
   Web of Science ®Google Scholar
• Husslage, B. G., G. Rennen, E. R. Van Dam, and D. Den Hertog. 2011. “Space-Filling Latin Hypercube Designs for Computer Experiments.” Optimization and Engineering 12 (4): 611–630. https://doi.org/10.1016/j.cma.2004.10.008
   Web of Science ®Google Scholar
• Jha, B. N., and H. S. Li. 2017. “Structural Reliability Analysis Using a Hybrid Hdmr-Ann Method.” Journal of Central South University 24 (11): 2532–2541. https://doi.org/10.1007/s11771-017-3666-7
   Web of Science ®Google Scholar
• Kiani, Y. 2018a. “Isogeometric Large Amplitude Free Vibration of Graphene Reinforced Laminated Plates in Thermal Environment Using Nurbs Formulation.” Computer Methods in Applied Mechanics and Engineering 332: 86–101. https://doi.org/10.1016/j.cma.2017.12.015
   Web of Science ®Google Scholar
• Kiani, Y. 2018b. “Nurbs-Based Isogeometric Thermal Postbuckling Analysis of Temperature Dependent Graphene Reinforced Composite Laminated Plates.” Thin-Walled Structures 125: 211–219. https://doi.org/10.1016/j.tws.2018.01.024
   Web of Science ®Google Scholar
• Kiani, Y. 2020. “Nurbs-Based Thermal Buckling Analysis of Graphene Platelet Reinforced Composite Laminated Skew Plates.” Journal of Thermal Stresses 43 (1): 90–108. https://doi.org/10.1080/01495739.2019.1673687
   Web of Science ®Google Scholar
• Kiani, Y., and M. Mirzaei. 2019. “Isogeometric Thermal Postbuckling of fg-Gplrc Laminated Plates.” Composite Structures 32: 821–832. https://doi.org/10.12989/scs.2019.32.6.821
   Web of Science ®Google Scholar
• Kosaraju, S., and R. Hovsapian. 2012. “Performance Evaluation of Experimental Rim-Drive Wind Turbine.” Energy Sustainability 44816: 1391–1396. https://doi.org/10.1115/ES2012-91286
   Google Scholar
• Kroese, D. P., T. Brereton, T. Taimre, and Z. I. Botev. 2014. “Why the Monte Carlo Method is so Important Today.” WIREs Computational Statistics 6 (6): 386–392. https://doi.org/10.1002/wics.1314
   Google Scholar
• Li, J., X. Tian, Z. Han, and Y. Narita. 2016. “Stochastic Thermal Buckling Analysis of Laminated Plates Using Perturbation Technique.” Composite Structures 139: 1–12. https://doi.org/10.1016/j.compstruct.2015.11.076
   Web of Science ®Google Scholar
• Manohar, C., and R. Ibrahim. 1999. “Progress in Structural Dynamics with Stochastic Parameter Variations: 1987–1998.” Applied Mechanics Reviews 52: 177–197. https://doi.org/10.1115/1.3098933
   Google Scholar
• Mirzaei, M., and Y. Kiani. 2017. “Isogeometric Thermal Buckling Analysis of Temperature Dependent fg Graphene Reinforced Laminated Plates Using Nurbs Formulation.” Composite Structures 180: 606–616. https://doi.org/10.1016/j.compstruct.2017.08.057
   Web of Science ®Google Scholar
• Mostaghel, N., and I. Tadjbakhsh. 1973. “Buckling of Rotating Rods and Plates.” International Journal of Mechanical Sciences 15 (6): 429–434. https://doi.org/10.1016/0020-7403(73)90026-X
   Web of Science ®Google Scholar
• Murugan, S., R. Chowdhury, S. Adhikari, and M. Friswell. 2012. “Helicopter Aeroelastic Analysis with Spatially Uncertain Rotor Blade Properties.” Aerospace Science and Technology 16 (1): 29–39. https://doi.org/10.1016/j.ast.2011.02.004
   Web of Science ®Google Scholar
• Murugan, S., R. Ganguli, and D. Harursampath. 2008. “Aeroelastic Response of Composite Helicopter Rotor with Random Material Properties.” Journal of Aircraft 45 (1): 306–322. https://doi.org/10.2514/1.30180
   Web of Science ®Google Scholar
• Naguleswaran, S. 1997. “Out-of-Plane Vibration of a Uniform Euler-Bernoulli Beam Attached to the inside of a Rotating Rim.” Journal of Sound and Vibration 200 (1): 63–81. https://doi.org/10.1006/jsvi.1996.0667
   Web of Science ®Google Scholar
• Naskar, S., T. Mukhopadhyay, S. Sriramula, and S. Adhikari. 2017. “Stochastic Natural Frequency Analysis of Damaged Thin-Walled Laminated Composite Beams with Uncertainty in Micromechanical Properties.” Composite Structures 160: 312–334. https://doi.org/10.1016/j.compstruct.2016.10.035
   Web of Science ®Google Scholar
• Nguyen, V. P., and H. Nguyen-Xuan. 2013. “High-Order b-Splines Based Finite Elements for Delamination Analysis of Laminated Composites.” Composite Structures 102: 261–275. https://doi.org/10.1016/j.compstruct.2013.02.029
   Web of Science ®Google Scholar
• Nguyen-Xuan, H., L. V. Tran, C. H. Thai, S. Kulasegaram, and S. P. A. Bordas. 2014. “Isogeometric Analysis of Functionally Graded Plates Using a Refined Plate Theory.” Composites Part B: Engineering 64: 222–234. https://doi.org/10.1016/j.compositesb.2014.04.001
   Web of Science ®Google Scholar
• Nishad, M., M. R. Sunny, and B. N. Singh. 2023. “Free-Vibration Analysis of Rim-Driven Rotating Composite Plate Using Nurbs-Based Isogeometric Approach and Hsdt.” Mechanics of Advanced Materials and Structures 0 (0): 1–21. https://doi.org/10.1080/15376494.2023.2242623
   Google Scholar
• Oh, D., and L. Librescu. 1997. “Free Vibration and Reliability of Composite Cantilevers Featuring Uncertain Properties.” Reliability Engineering & System Safety 56 (3): 265–272. https://doi.org/10.1016/S0951-8320(96)00038-5
   Web of Science ®Google Scholar
• Oh, Y., and H. H. Yoo. 2016. “Vibration Analysis of Rotating Cantilever Beams Orienting Inward.” Journal of Mechanical Science and Technology 30 (9): 4177–4184. https://doi.org/10.1007/s12206-016-0829-7
   Web of Science ®Google Scholar
• Peters, D., and D. Hodges. 1980. “In-Plane Vibration and Buckling of a Rotating Beam Clamped off the Axis of Rotation.” Journal of Applied Mechanics 47: 398–402. https://doi.org/10.1115/1.3153676
   Web of Science ®Google Scholar
• Pettit, C. L. 2004. “Uncertainty Quantification in Aeroelasticity: Recent Results and Research Challenges.” Journal of Aircraft 41 (5): 1217–1229. https://doi.org/10.2514/1.3961
   Web of Science ®Google Scholar
• Phung-Van, P., M. Abdel-Wahab, K. Liew, S. Bordas, and H. Nguyen-Xuan. 2015. “Isogeometric Analysis of Functionally Graded Carbon Nanotube-Reinforced Composite Plates Using Higher-Order Shear Deformation Theory.” Composite Structures 123: 137–149. https://doi.org/10.1016/j.compstruct.2014.12.021
   Web of Science ®Google Scholar
• Raissi, M. 2018. “Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations.” The Journal of Machine Learning Research 19 (1): 932–955. https://arxiv.org/abs/1801.06637
   Google Scholar
• Rostami, H., and F. Bakhtiari-Nejad. 2021. “Modeling and Dynamic Study of Rotating Blades with Adjustable Stagger Angle.” Applied Mathematical Modelling 89: 1599–1626. https://doi.org/10.1115/ES2012-91286
   Web of Science ®Google Scholar
• Samaniego, E., C. Anitescu, S. Goswami, V. M. Nguyen-Thanh, H. Guo, K. Hamdia, X. Zhuang, and T. Rabczuk. 2020. “An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications.” Computer Methods in Applied Mechanics and Engineering 362: 112790. https://doi.org/10.1016/j.cma.2019.112790
   Web of Science ®Google Scholar
• Schillinger, D., L. Dedè, M. A. Scott, J. A. Evans, M. J. Borden, E. Rank, and T. J. R. Hughes. 2012. “An Isogeometric Design-through-Analysis Methodology Based on Adaptive Hierarchical Refinement of Nurbs, Immersed Boundary Methods, and t-Spline Cad Surfaces.” Computer Methods in Applied Mechanics and Engineering 249–252: 116–150. https://doi.org/10.1016/j.cma.2012.03.017
   Web of Science ®Google Scholar
• Sederberg, T. W., D. L. Cardon, G. T. Finnigan, N. S. North, J. Zheng, and T. Lyche. 2004. “T-Spline Simplification and Local Refinement.” ACM Transactions on Graphics 23 (3): 276–283. https://doi.org/10.1145/1186562.1015715
   Web of Science ®Google Scholar
• Sederberg, T. W., J. Zheng, A. Bakenov, and A. Nasri. 2003. “T-Splines and t-Nurccs.” ACM Transactions on Graphics 22 (3): 477–484. https://doi.org/10.1145/882262.882295
   Web of Science ®Google Scholar
• Shaker, A., W. Abdelrahman, M. Tawfik, and E. Sadek. 2008a. “Stochastic Finite Element Analysis of the Free Vibration of Functionally Graded Material Plates.” Computational Mechanics 41 (5): 707–714. https://doi.org/10.1007/s00466-007-0226-2
   Web of Science ®Google Scholar
• Shaker, A., W. G. Abdelrahman, M. Tawfik, and E. Sadek. 2008b. “Stochastic Finite Element Analysis of the Free Vibration of Laminated Composite Plates.” Computational Mechanics 41 (4): 493–501. https://doi.org/10.1007/s00466-007-0205-7
   Web of Science ®Google Scholar
• Sharma, N., P. Kumar Swain, D. Kumar Maiti, and B. Nath Singh. 2022. “Vibration and Uncertainty Analysis of Functionally Graded Sandwich Plate Using Layerwise Theory.” AIAA Journal 60 (6): 3402–3423. https://doi.org/10.2514/1.J061344
   Web of Science ®Google Scholar
• Sharma, N., M. Nishad, D. K. Maiti, M. R. Sunny, and B. N. Singh. 2021. “Uncertainty Quantification in Buckling Strength of Variable Stiffness Laminated Composite Plate under Thermal Loading.” Composite Structures 275: 114486. https://doi.org/10.1016/j.compstruct.2021.114486
   Web of Science ®Google Scholar
• Sharma, N., P. K. Swain, D. Maiti, and B. Singh. 2022b. “Stochastic Frequency Analysis of Laminated Composite Plate with Curvilinear Fiber.” Mechanics of Advanced Materials and Structures 29 (6): 933–948. https://doi.org/10.1080/15376494.2020.1800152
   Web of Science ®Google Scholar
• Sharma, N., P. K. Swain, and D. K. Maiti. 2022. “Active Flutter Suppression of Damaged Variable Stiffness Laminated Composite Rectangular Plate with Piezoelectric Patches.” Mechanics of Advanced Materials and Structures 1–21. https://doi.org/10.1080/15376494.2022.2134611
   Web of Science ®Google Scholar
• Sharma, N., P. K. Swain, D. K. Maiti, and B. N. Singh. 2021. “Stochastic Aeroelastic Analysis of Laminated Composite Plate with Variable Fiber Spacing.” Journal of Composite Materials 55 (30): 4527–4547. https://doi.org/10.1177/002199832110408
   Web of Science ®Google Scholar
• Sharma, N., P. K. Swain, D. K. Maiti, and B. N. Singh. 2022a. “Static and Free Vibration Analyses and Dynamic Control of Smart Variable Stiffness Laminated Composite Plate with Delamination.” Composite Structures 280: 114793. https://doi.org/10.1016/j.compstruct.2021.114793
   Web of Science ®Google Scholar
• Singh, B., D. Yadav, and N. Iyengar. 2001. “Natural Frequencies of Composite Plates with Random Material Properties Using Higher-Order Shear Deformation Theory.” International Journal of Mechanical Sciences 43 (10): 2193–2214. https://doi.org/10.1016/S0020-7403(01)00046-7
   Web of Science ®Google Scholar
• Subrahmanyam, K., and K. Kaza. 1986. “Vibration and Buckling of Rotating, Pretwisted.” Preconed Beams Including Coriolis Effects. https://doi.org/10.1115/1.3269314
   Google Scholar
• Swain, P. K., N. Sharma, D. K. Maiti, and B. N. Singh. 2020. “Aeroelastic Analysis of Laminated Composite Plate with Material Uncertainty.” Journal of Aerospace Engineering 33 (1): 04019111. https://doi.org/10.1061/(ASCE)AS.1943-5525.000110
   Web of Science ®Google Scholar
• Thai, C. H., A. Ferreira, S. P. A. Bordas, T. Rabczuk, and H. Nguyen-Xuan. 2014. “Isogeometric Analysis of Laminated Composite and Sandwich Plates Using a New Inverse Trigonometric Shear Deformation Theory.” European Journal of Mechanics - A/Solids 43: 89–108. https://doi.org/10.1016/j.euromechsol.2013.09.001
   Web of Science ®Google Scholar
• Tran, L. V., C. H. Thai, and H. Nguyen-Xuan. 2013. “An Isogeometric Finite Element Formulation for Thermal Buckling Analysis of Functionally Graded Plates.” Finite Elements in Analysis and Design 73: 65–76. https://doi.org/10.1016/j.finel.2013.05.003
   Web of Science ®Google Scholar
• Vu-Bac, N., T. Duong, T. Lahmer, P. Areias, R. Sauer, H. Park, and T. Rabczuk. 2019. “A Nurbs-Based Inverse Analysis of Thermal Expansion Induced Morphing of Thin Shells.” Computer Methods in Applied Mechanics and Engineering 350: 480–510. https://doi.org/10.1016/j.cma.2019.03.011
   Web of Science ®Google Scholar
• Vu-Bac, N., T. X. Duong, T. Lahmer, X. Zhuang, R. A. Sauer, H. Park, and T. Rabczuk. 2018. “A Nurbs-Based Inverse Analysis for Reconstruction of Nonlinear Deformations of Thin Shell Structures.” Computer Methods in Applied Mechanics and Engineering 331: 427–455. https://doi.org/10.1016/j.cma.2017.09.034
   Web of Science ®Google Scholar
• Vu-Bac, N., T. Rabczuk, H. Park, X. Fu, and X. Zhuang. 2022. “A Nurbs-Based Inverse Analysis of Swelling Induced Morphing of Thin Stimuli-Responsive Polymer Gels.” Computer Methods in Applied Mechanics and Engineering 397: 115049. https://doi.org/10.1016/j.cma.2022.115049
   Web of Science ®Google Scholar
• White, W. F., Jr, R. G. Kvaternik, and K. R. Kaza. 1979. “Buckling of Rotating Beams.” International Journal of Mechanical Sciences 21 (12): 739–745. https://doi.org/10.1016/0020-7403(79)90054-7
   Web of Science ®Google Scholar
• Xie, T., H. Yu, and B. Wilamowski. 2011. “Comparison between Traditional Neural Networks and Radial Basis Function Networks.” 2011International Symposium on Industrial Electronics, 1194–1199. Piscataway, NJ: IEEE. https://doi.org/10.1109/ISIE.2011.5984328.
   Google Scholar
• Yan, X., X. Liang, W. Ouyang, Z. Liu, B. Liu, and J. Lan. 2017. “A Review of Progress and Applications of Ship Shaft-Less Rim-Driven Thrusters.” Ocean Engineering 144: 142–156. https://doi.org/10.1016/j.oceaneng.2017.08.045
   Web of Science ®Google Scholar
• Yoo, H. H., and C. Pierre. 2003. “Modal Characteristic of a Rotating Rectangular Cantilever Plate.” Journal of Sound and Vibration 259 (1): 81–96. https://doi.org/10.1006/jsvi.2002.5182
   Web of Science ®Google Scholar
• Zhuang, X., H. Guo, N. Alajlan, H. Zhu, and T. Rabczuk. 2021. “Deep Autoencoder Based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates with Transfer Learning.” European Journal of Mechanics - A/Solids 87: 104225. https://doi.org/10.1016/j.euromechsol.2021.104225
   Web of Science ®Google Scholar