The effect of gravity and sliding friction on the dynamics around targeted energy transfer of an inclined vibro-impact nonlinear energy sink (VINES) is addressed. The non-smooth dynamics is first formulated in Signorini’s contact law and treated using a Moreau-Jean scheme adapted with an energy-conserving integration method. Exhaustive discussions are then carried out regarding the vibration damping performance of the VINES, as well as their dependence on the underlying vibro-impact induced response regimes, under both transient and steady-state responses. It is demonstrated that gravity is responsible for reducing the energy barrier required for achieving targeted energy transfer in the transient response, or enlarge the existing bandwidth of the effective strongly modulated response (SMR) regimes, which is an equivalent representation of TET in the steady-state response, to improve considerably the overall damping efficiency. Some adverse effects brought by gravity and friction are also reported, and it is found that, when the incline angle or friction coefficient grows large, the bandwidth of SMR reduces again and leads to a deterioration of efficiency. The results open a door for appropriately taking advantage of the gravity into the VINES design to improve its damping performance.

解决了重力和滑动摩擦对倾斜振动冲击非线性能量汇 (VINES) 的目标能量转移周围动力学的影响。非光滑动力学首先在 Signorini 接触定律中制定，并使用采用节能积分方法的 Moreau-Jean 方案进行处理。然后对 VINES 的振动阻尼性能进行详尽的讨论，以及它们在瞬态和稳态响应下对潜在振动冲击引起的响应机制的依赖。已经证明，重力负责减少在瞬态响应中实现目标能量转移所需的能量势垒，或扩大有效强调制响应（SMR）机制的现有带宽，这是稳态响应中 TET 的等效表示，可显着提高整体阻尼效率。还报道了重力和摩擦带来的一些不利影响，发现当倾斜角或摩擦系数变大时，SMR的带宽再次减小，导致效率恶化。结果为适当利用重力进入 VINES 设计打开了一扇门，以提高其阻尼性能。