Damped 2-DOF subsystems of acoustic metamaterials

10th International Symposium Machine and Industrial Design in Mechanical Engineering

工业技术;机械制造

Szuchy, P.^1 ; Bíró, I.^1

University of Szeged, Faculty of Engineering, Technical Institute, Mars tér 7, Szeged, Hungary^1

关键词: 2 degree of freedoms;    Acoustic metamaterials;    Damping ratio;    Frequency rate;    Linear characteristics;    Periodic excitations;    Rotating vectors;    Vibration model;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/393/1/012038/pdf
DOI  :  10.1088/1757-899X/393/1/012038

学科分类：工业工程学

来源: IOP

【 摘 要 】

This paper introduces the theory of the mass-in-mass subsystems of metamaterials by a 2-Degree-Of-Freedom vibration model with linear characteristic springs and dampers, periodic excitation. The theory is described by a traditional method, by rotating vectors, using D'Alambert's principle. Formerly this method was used only for 1-Degree-Of-Freedom and now it has been developed for 2-Degree-Of-Freedom. Relationship between the phase shift and the amplitudes of the two masses' motion has been determined. Both depend on only the Lehr's damping ratio and the frequency rate. A G 21 = A 2/A 1 factor has been introduced and called amplitude rate. The mass-in-mass subsystem has been described by the conducted results, so the motion and the forces are more apparent.