###### Abstract  
Many engineering systems, from subsea pipelines to space structures, from moving vehicles to stationary skyscrapers, are subject to unwanted vibration excitations. Often vibration control can be considered as a problem of energy dissipation and vibration damping. The aims of this issue are to accumulate, disseminate, and promote new knowledge about vibration control, especially for topics related to energy dissipation methods for vibration damping. Topics in this issue reflect the start-of-the-arts in the field of vibration control, such as inerter dampers and bounding tuned mass dampers (PTMDs). This special issue also reports other types of new energy dissipation devices, including a multi-unit particle damper, a nonlinear eddy current damper, and layered dampers. Also reported in this issue are structural elements with innovative designs to dissipate energy. In addition, this special issue also reports two research studies on the dynamic responses of a structural foundation and an earth-retaining structure. Though most papers in this special issue are related to passive methods, one paper reports a semi-active vibration control via magnetorheological dampers (MRDs), and another two papers report active vibration controls using piezoelectric transducers and inertial actuators, respectively. vibration control; energy dissipation; passive vibration control; tuned mass damper; videelastic materials  
Many engineering systems, from subsea pipelines [1,2] to space structures [3,4], from moving vehicles [5] to stationary skyscrapers [6], are subject to vibration excitations. Problems related to vibrations are ubiquitous, from the fatigue caused by many low-amplitude vibration excitations [7,8] to the structural failure of buildings caused by excessive seismic events [9,10]. In addition, many civil structures are exposed to the environment and are subjected to many adverse effects such as thermal cycling [11] and corrosion [12], resulting in damages such as cracks [13] and reduced structural stiffness [14]. In these situations, vibration damping becomes even more important. The study of vibrations and the control of vibrations has been a fundamental cornerstone of engineering. The breadth of vibration engineering is matched by the depth of field. Numerous methods, including active [15,16], passive [17,18], semi-active [19,20], and hybrid [21] methods, have been proposed, and a wide range of devices have been developed to control vibrations. Many vibration control problems can be considered as a problem of energy dissipation and vibration damping [18,19]. The problem encompasses multiple interdependent aspects of research and engineering, including the invention of new energy dissipation materials, the establishment of new mathematical models [22], the development and implementation of new control algorithms, and the design of novel damping devices [23; 24]. Discoveries made in one aspect can lead to breakthroughs in others. The aims of this issue are to accumulate, disseminate, and promote new knowledge about vibration control, especially for topics related to energy dissipation methods for vibration damping. Topics in this issue reflect the start-of-the-arts in the field of vibration control. In recent years, new dampers employing inerters have received much attention. In this special issue, both modeling and applications related to inerter dampers are addressed. On the modeling side, new equivalent linearization methods for a control system with a clutching inerter damper are developed [25], and on the application side, the inerter dampers are applied to the vibration control of suspended structures [26] and cables [27]. The inerter dampers are effective in reducing structural vibrations. Recent years have seen the increasing research in bounding tuned mass damper (PTMD) that has advantages of being simple to use, easy to maintain, robust to the target structural frequency, and having a high energy dissipation capacity [28; 29; 30].