In order to lessen the dynamic reactions of liquid storage tanks, the nonlinear inertial amplifier friction bearings are introduced in this paper. The liquid storage tanks’ governing equations of motion are obtained by applying Newton’s second law. The governing equations of motion of isolated structures are linearized for each nonlinear component using the statistical linearisation technique. The \(H_2\) and \(H_\infty \) optimisation approaches are used to improve the natural frequency and damping ratio of the isolators. A frequency response function is created to determine the frequency domain responses of the separated structures. We compare the vibration reduction capabilities of innovative isolators with those of a standard damper. Taking into account the maximal dynamic responses of sloshing and impulsive masses of the isolated liquid storage tanks, the dynamic response reduction capacity of \(H_{2}\) optimised innovative isolators is therefore 57.03 % and 61.4 % superior to \(H_{2}\) optimised traditional base isolators. Furthermore, taking into account the maximal dynamic responses of sloshing and impulsive masses of the isolated liquid storage tanks, the dynamic response reduction capacity of \(H_{\infty }\) optimised innovative isolators is 22.2 % and 31.74 % superior to \(H_{\infty }\) optimised traditional base isolators. All of the results that were obtained make mathematical sense.
