idea of vibrations belongs to valuable matters wanted for education mechani­ cal engineers in technological universities. for this reason, the elemental objective of the mono­ graph "Advanced conception of Vibrations 1" is to assist scholars learning vibration thought for gaining adventure in program of this thought for fixing specific difficulties. therefore, whereas making a choice on the issues and techniques to unravel them, the shut cognizance used to be paid to the utilized content material of vibration thought. The monograph is dedicated to structures with a unmarried measure of freedom and sys­ tems with a finite variety of levels of freedom. particularly, difficulties are for­ mulated linked to choice of frequencies and sorts of vibrations, examine of pressured vibrations, research of either sturdy and risky vibrations (includ­ ing these as a result of periodic yet anharmonic forces). the issues of nonlinear vibrations and of vibration balance, and people concerning looking probabilistic features for suggestions to those difficulties in terms of random forces also are thought of. difficulties concerning parametric vibrations and statistical dynamics of mechanical structures, in addition to to decision of severe parameters and of dy­ namic balance also are analyzed. in most cases, difficulties offered within the monograph are linked to specific mechanical platforms and will be utilized for present experiences in vibration conception. Al­ lowing for pursuits of scholars independently learning thought of vibrations, nearly all of difficulties are provided with both distinct strategies or algorithms of the solutions.