Advances in suppression of structural vibration and sound radiation by flexural wave manipulation

•Phononic crystals, elastic metamaterials, ABHs and elastic metasurfaces are considered.•The principles of suppressing vibration and sound radiation by these artificial structures are introduced.•The advances in suppressing vibration and sound radiation by wave manipulation are reviewed.•The further works of suppressing vibration and sound radiation by wave manipulation are prospected. The newly generated artificial structures, including phononic crystals, elastic metamaterials, acoustic black holes (ABHs) and elastic metasurfaces, can abnormally control wave propagations. In this paper, focusing on plate structures and from the perspective of the suppression of vibration and especially sound radiation by manipulating flexural waves, we give a thorough review of the advances of above-mentioned artificial structures, involving their extraordinary characteristics, corresponding mechanisms of vibration and sound radiation suppression, design methods of phase-gradient elastic metasurfaces, and some representative works on suppressing vibration and sound radiation of plates by flexural wave manipulations. Additionally, we compare the advantages and disadvantages of these artificial structures in vibration and sound radiation suppression. Finally, we look forward to the prospects on vibration and sound radiation suppression of plates based on wave manipulations. This paper will provide a timely and practical assistance to academic and technical researchers in the field of vibration and noise reduction.