Vibration suppression for marine structures has been an important concern for a long time. In this paper, a specifically designed continuous module that consists of an Euler beam, a preloaded bimorph beam and a coupled spring unit produces self-increasing damping and strongly suppresses the steady-state response near resonance. Based on Hamilton’s principle, we derive a two-degree-of-freedom coupled linear–bistable (CLB) model of this module. Utilizing the harmonic balance method and a numerical simulation, we analyze the proposed CLB model under a harmonic excitation. When the preloaded beam moves toward the critical amplitude of the saddle point of the system potential, the unstable equilibrium greatly increases the velocity phase difference between the Euler and preloaded beams and spontaneously enhances the dissipation power of the system. The self-increasing damping decreases the amplitude of the steady-state vibration of the coupled module excited near resonance by an order of magnitude. Numerical results demonstrate the essential roles of the damping ratio and the shape of the potential function in determining how this module can better suppress vibrations. This investigation provides opportunities to suppress dynamical responses using a continuous CLB module.

长期以来，抑制海洋结构的振动一直是重要的考虑因素。在本文中，由欧拉梁，预加载双压电晶片梁和耦合弹簧单元组成的经过特殊设计的连续模块会产生自增强的阻尼，并强烈抑制共振附近的稳态响应。基于汉密尔顿原理，我们推导了该模块的两自由度耦合线性双稳态（CLB）模型。利用谐波平衡法和数值模拟方法，分析了谐波激励下的CLB模型。当预紧梁向系统电势鞍点的临界幅度移动时，不稳定的平衡会极大地增加Euler梁与预紧梁之间的速度相位差，并自发地增强系统的耗散功率。自增加的阻尼使耦合模块在共振附近激发的稳态振动的振幅减小一个数量级。数值结果表明，阻尼比和势函数的形状在确定此模块如何更好地抑制振动方面起着至关重要的作用。这项研究提供了使用连续的CLB模块抑制动力响应的机会。