This study investigates the dynamic and static stability of a sinusoidal enclosed sandwich beam with a pre-twist, resting on a Pasternak foundation, under axial harmonic loads with minor initial curvature and a temperature gradient. The beam is also analyzed with an attached mass and viscoelastic end supports. To improve the static and dynamic buckling loads and stability regions, a viscoelastic layer is incorporated as the core and as an additional shear layer atop the Pasternak foundation, with elastic layers enveloping the viscoelastic core for enhanced system stability. The equations of motion are derived using Hamilton's energy principle and Galerkin's method. A parametric study is conducted to evaluate the influence of various factors, including beam geometry, foundation stiffness, pre-twist angle, curvature, tip mass and position, and the loss factor of end supports, on critical dynamic loads and stability zones. The impact of these parameters on static critical loads is also examined. The study finds that proper tuning of the pre-twist angle, foundation stiffness, additional elastic layers, and end supports can significantly reduce unstable regions and increase both static and dynamic critical loads, thereby making the beam less susceptible to axial harmonic loading. The results are illustrated with detailed graphical representations. The objective of this work is to model and analyze the stability of an enclosed sinusoidal pre-twisted sandwich beam on a Pasternak foundation under combined thermal and mechanical loading. The novelty lies in simultaneously incorporating the enclosure effect, sinusoidal geometry, viscoelastic layers, Pasternak foundation and temperature gradient in a single analytical framework not previously reported.
Key Words
attached mass; curvature; enclosed sandwich beam; Pasternak foundation; pre-twisted beam; sinusoidal beam; temperature gradient; viscoelastic support
Address
Niraj Kumar Singh, Kumar Pradhan, Madhusmita Pradhan, Prasanta Kumar Pradhan, Pusparaj Dash — Department of Mechanical Engineering, VSSUT, Burla, Odisha 768018, India
Rashmita Parida — Department of Mechanical Engineering, OUTR, Bhubaneswar, Odisha 751029, India
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