Applied Mathematics and Mechanics

Abstract A design idea for single-component metamaterial plates is proposed to achieve the thermal stability of flexural wave bandgap by the perforated and pre-curved patterns. The band structure analysis suggests that perforation can release part of the in-plane thermal expansion to weaken the softening effect of thermal stress. Introducing pre-curved components to the perforated structure will …

Abstract This study focuses on a new and high-efficiency approach in a unified sense of accurately simulating strength-degrading effects for geomaterials, including non-symmetric hardening-to-softening effects in tension and compression as well as non-symmetric tensile and compressive stiffness-degrading effects during unloading. It is intended to bypass both modeling and numerical complexities i…

Abstract A novel vibration isolation system designed for superior performance in low-frequency environments is proposed in this work. The isolator is based on a unique hexagonal arrangement of linear springs, allowing for an adjustable geometric configuration via the initial inclination angle. Based on the principle of Lagrangian mechanics, the equation of motion governing the structural dynamics…