Linear vibration isolation systems have a limitation on their performance, especially for low frequencies, which can be overcome passively by using nonlinear stiffness. It has been demonstrated in multiple instances that linear isolation systems can be improved upon by using nonlinear damping elements, which can suppress vibration at resonance frequencies, and have excellent isolation performance at high frequencies. The parameter boundaries of both excellent isolation performance and system stability are analysed using bifurcation theory, and these design parameters can be optimised. Investigations into nonlinear vibration isolation provide a deep insight into underlying behaviour and help to enable problem solutions and proper system design, thus playing an important role in the development of modern and innovative mechanical systems.

The challenges of vibration isolation with damping and stiffness nonlinearity are significant, such as nonlinear vibration isolation theories subject to shock excitations, designing nonlinear dynamics for vibration isolation, and the diverse engineering applications of nonlinear vibration isolation. Therefore, it is important to research nonlinear dynamics of vibration control systems by theoretical, numerical, and experimental methods.

The Special Issue aims to systematically investigate the root causes of counterintuitive nonlinear phenomena and reveal the state-of-the-art in nonlinear vibration isolation. We aim to focus on combining nonlinear damping and nonlinear stiffness to improve vibration isolation performance for both force and base excitation. Dual-stage, multi-directional, and stochastic vibration isolation systems with both damping and stiffness nonlinearity will be received. Especially welcome are papers that include both theoretical and experimental aspects, or that include practical applications of nonlinear vibration isolation. Both original research and review articles are welcome.

Potential topics include but are not limited to the following:

• High-static-low-dynamic stiffness vibration isolation
• Vibration isolation with broadband damping
• Shock isolation with nonlinearity
• Nonlinear phenomena and stochastic vibration isolation
• Nonlinear vibration isolation of continuums
• Analytical methods for strongly nonlinear vibration
• Developed measurements for nonlinear vibrations
• Damping material
• Nonlinear vibration isolation for aerospace/marine/vehicle engineering