Vibration analysis of symmetric laminated composite plates with attached mass

Abstract

In this study, vibration of symmetrically laminated composite plates with attached mass is studied. The Ritz method with algebraic polynomial displacement field is used. The plates with at least two adjacent free edges are considered in the formulations. The effect of various parameters (number of layers, ratio of attached mass to the plate mass, position of attached mass, fiber orientation) upon the frequencies and mode shapes is investigated. It is found that attachment of a mass has important effects on the vibration characteristics of composite laminated plates.

Factors influencing the effect of attached mass on dynamic behavior of laminate composite plates using Taguchi technique

“…where qw is the mass per unit area of the plate, M i is the mass of the attached particle, (x p , y p ) is the position, and n i is the number of particles attached to the composite plate [16]. Free vibrations of the plate, displacements are assumed as follows:…”

“…This means that 16 experiments with different combinations of factors should be conducted, without using the Taguchi method, 4 4 or 256 numbers of trials would be needed to study the influencing parameters. These factors include attached mass locations (P 1 , P 2 , P 3 , and P 4 ), the number of layers (8,16,24 Table 2).…”

“…The results show that the attached mass reduces the frequencies of the sandwich plate. Metin Aydogdu and Seckin Filiz [16] used the Ritz method to study the vibration of symmetric stratified composite plates with an attached mass. The study examines the effect of various factors such as fiber orientation, number of layers, and position of attached mass,) on frequencies.…”

Modal damping ratio of symmetric laminate composite under the effect of attached mass using experimental design

“…where ρ is the mass per unit area of the plate, M i is the mass of the attached particle, (x p , y p ) is the position, and Ni is the number of particles attached to the composite plate [29] .…”

Point mass identification in rectangular plates from minimal natural frequency data

“…The development of effective methods for timely identification of concentrated masses in vibrating plates is an issue of increasing interest in several fields of technology, such as, for instance, slabs supporting engines or motors not directly accessible from the exterior; printed circuits boards or plate-like chassis with electronic elements attached to them; plates with inhomogeneities in material mass density due to defective manufacturing processes; see, for example, the recent paper by Aydogdu and Filiz [1] and references cited therein. Moreover, in connection with the above applications, we also recall the possibility of using concentrated masses to modify the resonant frequencies of a thin uniform rectangular plate [2].…”