Approximated Calculation of the Kirchhoff Plate Resting on the Vlasov Foundation with Selected Boundary Conditions

Bolle, L. (1947). Contribution au problème linèare de flexion d’une plaque èlastique. Bulletin Technique de la Suisse Romande, 73, 293–298. Search in Google Scholar

Höller, R., Aminbaghai, M., Eberhardsteiner, L., Eberhardsteiner, J., Blab, R., Pichler, B. & Hellmich, C. (2019). Rigorous amendment of Vlasov’s theory for thin elastic plates on elastic Winkler foundations, based on the Principle of Virtual Power. European Journal of Mechanics / A Solids, 73, 449–482.10.1016/j.euromechsol.2018.07.013 Search in Google Scholar

Jemielita, G. (1992). Generalization of the Kerr foundation model. Journal of Theoretical and Applied Mechanics, 4 (30), 843–853. Search in Google Scholar

Jemielita, G. (1994). Governing equations and boundary conditions of a generalized model of elastic foundation. Journal of Theoretical and Applied Mechanics, 4 (32), 887–901. Search in Google Scholar

Jemielita, G. (2001). Teorie płyt sprężystych. In C. Woźniak (Ed.), Mechanika techniczna. Vol. 8. Mechanika sprężystych płyt i powłok. Warszawa: Wydawnictwo Naukowe PWN. Search in Google Scholar

Ozgan, K. (2013). Dynamic analysis of thick plates including deep beams on elastic foundations using modified Vlasov model. Shock and Vibration, 20 (1), 29–41.10.1155/2013/856101 Search in Google Scholar

Vlasov, V. & Leontiev, N. (1960). Balki, plity i oboločki na uprugom osnovanii. Moskva: Gosudarstvennoe izdatelstvo fiziko-matemetičeskoj literatury. Search in Google Scholar

Yue, F., Wang, F., Jia, S., Wu, Z. & Wang, Z. (2020). Bending analysis of circular thin platesresting on elastic foundations using two modified Vlasov models. Mathematical Problems in Engineering, 2020, 2345347. https://doi.org/10.1155/2020/234534710.1155/2020/2345347 Search in Google Scholar