A hinge for the controlled rotatable movement of a closing element, such as a door, a door leaf or the like, anchored to a stationary support structure, such as a wall, a floor, a frame or the like. The hinge comprises a hinge body and a pivot defining a first axis reciprocally coupled to allow the closing element to rotate between an open position and a closed position. The hinge further comprises a working chamber defining a second axis substantially perpendicular to said first axis and a plunger element sliding within the working chamber along the second axis between a position proximal to the bottom wall of the working chamber and a position distal therefrom. The pivot includes a pinion member, whereas the plunger element includes a rack member engaged with the pinion member.

One aspect is an inertial lock friction hinge, including a shaft assembly having a shaft assembly recess and a friction assembly having a friction assembly recess. The shaft assembly and the friction assembly are rotatably coupled for relative frictional rotation. The hinge includes a restraining component positioned within the hinge such that when the hinge is in an unlocked condition the restraining component is not engaged with both the friction assembly recess and the shaft assembly recess so that the shaft assembly and the friction assembly are allowed to rotate relative to each. The restraining component is positioned such that when the inertial lock friction hinge is in a locked condition the restraining component is at least partially engaged with both the friction assembly recess and the shaft assembly recess so that the shaft assembly and the friction assembly are locked and prevented from relative rotation by the restraining component.

A damping mechanism includes a fixed base, a damping swing arm, a rolling body, and a push-pressing apparatus. The damping swing arm is rotatably disposed on the fixed base by using a damping member. A first concave portion, a protrusion, and a second concave portion are disposed on a side wall of the damping member, and the protrusion has a guide surface inclined relative to an axis such that when the push-pressing apparatus squeezes the guide surface of the protrusion to the rolling body, the guide surface enhances a push-pressing force of the push-pressing apparatus, so that the damping member is subject to greater pressure, and torque damping is increased as the damping swing arm rotates.