## 1 Introduction  
In traditional disaster prevention design, various disaster effects are usually considered separately. The overall demand for structures facing various disasters is almost neglected. Multiple hazards, such as earthquakes, wind, impacts, and explosions, impose enormous technical challenges to structures. In general, multi-type hazard structural prevention design mainly considers two typical forms: structures facing different hazards at the same time or in a time sequence, and structures facing one of the various disasters. In most cases, only the earthquake disaster is considered when structural preventions are designed [1, 2]. On the other hand, the pendular motion of the suspended structure is a typical and common form of motion. It mainly includes three basic motion modes, according to the relationship between the lifting point and the moving direction of the structures: the swing motion mode, the sway motion mode, and the swing and sway coupling motion mode [3]. Based on many practical applications and studies, the observation result shows that traditional vibration control devices such as the tuned mass damper (TMD) [4; 5; 6; 7; 8; 9; 10; 11], tuned liquid damper (TLD) [12; 13], particle damper (PD) [14], bounding tuned mass damper (PTMD) [15; 16; 17], and frictional tuned mass damper [18; 19], are reliable and efficient for civil engineering structures. Active Mass Dampers (AMD) [20; 21; 22; 23; 24; 25; 26; 27] have been widely studied in civil engineering for their superior effectiveness and larger spectral bandwidth [28; 29; 30; 31; 32]. There are many kinds of active [33; 34; 35; 36] and semi-active [37] control devices for structural vibration control. However, these traditional devices are almost ineffective in the swing motion mode vibration control of suspended structures. Some researchers have conducted studies on solving the problems of pendulum motion control [38; 39]. They propose an adaptive output-based command shaping (AOCS) technique [40], innovative controllers, nonlinear control algorithms, and control schemes [41; 42; 43] for the vibrations of cranes, but the control technologies that reduce the vibrations rely on the movement of the hanging points. However, the hanging points of many suspended structures are fixed, such as those of ship cranes. Therefore, it is meaningful to design a new control device for the swing motion of suspended structures. For the swing vibration control of suspended structures, a kind of control device called the Tuned Rotary Inertia Damper (TRID) system was proposed in previous research. In this system, mass with rotary inertia is attached to the suspended structure and the torsional spring element embedded with a damping mechanism is installed between the inertia mass and the structure. The effectiveness of the TRID system for swing vibration control was verified by theoretical analyses and experiments. However, the TRID system has some defects, such as the structure swing angle, which is too small to start the TRID system normally. The TRID miniaturization device has a severe time-lag effect. The TRID system also has a limited robustness, so it has a limited control effect. In previous studies, the performance of control systems under common single conditions has been verified based on experiments. The influence of external loads on the structural performance is ignored due to all of the attention being placed on the system configuration, thus the performance of the control system cannot be thoroughly evaluated. For example, the TRID system exerts a good control effect under specific frequency sinusoidal excitation. However, the control effects under multiple frequency excitations, such as earthquake excitation and sea wave excitation, have not been systematically studied. Based on the TRID system, the Active Rotary Inertia Driver (ARID) system was proposed. The mathematical model of the ARID system was derived [44].