Free vibration analysis of thin plates: Bare versus Stiffened Bhargav Reddy Isanaka, M Abdul Akbar, Biraja Prasad Mishra, Vinod Kushvaha Engineering Research Express, 2020 Light weight thin alloys and composite materials have revolutionized aerospace, marine, electronics and construction industries. Based on their application and structural behaviour, plates are often designed in arbitrary shapes. This paper deals with free vibration analysis of simply supported plates with different geometries. The plates are modelled with a stiffener which is curvilinear in shape. To enable comparison of plates, three parameters viz., the area of plates, starting point of the stiffener and curvature of the stiffener were kept constant. The Finite Element model was developed for free vibration analysis using FEAST (Finite Element Analysis of Strctures). The geometries considered were circular, square, rectangular (with aspect ratio of 1.25, 1.50 and 1.75, respectively) and skew square (with 70o, 76.67o and 83.33o skew angles, respectively). It was observed that the stiffness increased with the increase in aspect ratio of bare plates unlike the case of stiffened plates. In the case of stiffened plates, the stiffness increased with increase in aspect ratio up to 1.50 and thereafter decreased for the aspect ratio of 1.75. The bare and stiffened plates showed an increase in stiffness with increase in skewness of the geometry. Among the geometries considered, the stiffener was found to be most effective for the circular plate (110% increase in stiffness compared to bare plate) and least effective for the rectangular plate (50% increase in stiffness compared to bare plate) with 1.75 aspect ratio. The rectangular plate with aspect ratio 1.75 had the maximum overall stiffness and the circular plate had the minimum overall stiffness in the case of bare plates. In the case of stiffened plates, skew plates with 70o skew angle had the maximum overall stiffness and the circular plate had the minimum overall stiffness.
Static analysis of thin plates: Bare and stiffened Bhargav Reddy ISANAKA ISANAKA, Abdul Akbar M, Vinod KUSHVAHA Incas Bulletin, 2020 Plates are being widely used for many structural applications such as aerospace, civil, electronic devices and marine industries etc. For these applications, it is important to know the plate behaviour under static loading condition. The present study focuses on filling the existing gap in the literature in order to know the plate behaviour of different geometrical shapes before and after adding the stiffener. A total of eight geometries namely circular, square, rectangular (with aspect ratio of 1.25, 1.50 and 1.75) and skew square (with 70o, 76.67o and 83.33o skew angles) were considered. Static analysis of considered geometries was carried out by using FEAST (a Finite Element software). To enable comparison of plates, three parameters namely the area of plates, starting point of the stiffener and curvature of the stiffener were kept constant. From the static analysis results, the effect of the curvilinear stiffener on different geometrical shapes, effect of aspect ratio on rectangular plates and effect of skew angle on skew square plates were given. The displacement of plates reduced significantly after adding the curvilinear stiffener to the bare plates and the stiffener was most effective in the case of circular plate. In the present study, the effect of aspect ratio and skew angle on static behaviour of bare and stiffened plates was also studied and discussed.
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Free vibration analysis of thin plates: Bare versus Stiffened BR Isanaka, MA Akbar, BP Mishra, V Kushvaha Engineering Research Express 2 (1), 015014 , 2020 2020 Citations: 21
Static Analysis of Thin Plates: Bare and Stiffened BR Isanaka, MA Akbar, V Kushvaha, BP Mishra INCAS Bulletin 12 (1), 67-81 , 2020 2020 Citations: 2
NURBS-augmented finite element method for stability analysis of arbitrary thin plates BP Mishra, M Barik Engineering with Computers 35 (2), 351-362 , 2019 2019 Citations: 28
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Free Vibration Analysis of Thin Plates: Bare Vs. Stiffened BR Isanaka, A Akbar, BP Mishra, V Kushvaha Engineering Research Express, https://doi. org/10.1088/2631-8695/ab6264 , 2019 2019 Citations: 2
NURBS-Augmented Finite Element Method (NAFEM) for bending of thin arbitrary plates BP Mishra, M Barik Insights and Innovations in Structural Engineering, Mechanics and … , 2016 2016 Citations: 4
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MOST CITED SCHOLAR PUBLICATIONS
NURBS-augmented finite element method for stability analysis of arbitrary thin plates BP Mishra, M Barik Engineering with Computers 35 (2), 351-362 , 2019 2019 Citations: 28
Free vibration analysis of thin plates: Bare versus Stiffened BR Isanaka, MA Akbar, BP Mishra, V Kushvaha Engineering Research Express 2 (1), 015014 , 2020 2020 Citations: 21
Free flexural vibration of thin stiffened plates using NURBS-Augmented finite element method BP Mishra, M Barik Structures 33, 1620-1632 , 2021 2021 Citations: 17
Performance of rice husk ash (RHA) and recycled coarse aggregate (RCA) for sustainable concrete: A review SD Raymond Wellington Suomie, Biraja Prasad Mishra Next Materials 8 (July 2025), 100778 , 2025 2025 Citations: 16
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Parametric investigation of foundation on layered soil under vertical vibration S Swar, P Pradhan, B Mishra IOSR Journal of Engineering (IOSRJEN) 4 (7), 13-22 , 2014 2014 Citations: 5
Free flexural vibration analysis of thin plates using NURBS-augmented finite-element method BP Mishra, M Barik Journal of Vibration Engineering & Technologies 11 (3), 1241-1270 , 2023 2023 Citations: 4
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Static Analysis of Thin Plates: Bare and Stiffened BR Isanaka, MA Akbar, V Kushvaha, BP Mishra INCAS Bulletin 12 (1), 67-81 , 2020 2020 Citations: 2
Free Vibration Analysis of Thin Plates: Bare Vs. Stiffened BR Isanaka, A Akbar, BP Mishra, V Kushvaha Engineering Research Express, https://doi. org/10.1088/2631-8695/ab6264 , 2019 2019 Citations: 2
NURBS-Augmented Finite Element Method for Static, Dynamic and Stability Analyses of Arbitrary Stiffened Plates BP Mishra 2019
