Dynamic stiffness method for free vibration analysis of thin functionally graded rectangular plates

Chauhan, Manish; Ranjan, Vinayak; Sathujoda, Prabhakar

doi:10.21595/vp.2019.21111

Cited by 2 publications

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The free vibration analysis and the dynamic response analysis were carried out by many researchers on initially stressed FG panles where they considered theoretical method based on Reddy's shear deformation theory [6][7][8]. Dynamic and free vibration analysis was carried out on simply supported FG ceramic-metal panels to calculate natural frequencies by using dynamic stiffness matrix [9,10] and also on magneto-electro-elastic FG plates [11]. Free vibration analysis was conducted by the many researchers under the thermal environment [12,13].…”

Section: Introductionmentioning

confidence: 99%

Vibration Control of Functionally Graded Panels using Parallel Resonators

Sahu¹,

Kumar²,

Bhavyashree³

et al. 2022

KEM

View full text Add to dashboard Cite

Functionally graded materials (FGM) are often an integral part these days in many engineering applications, such as, nuclear structural components, spacecraft and marine structures, thermal barrier coatings used for military applications, etc. These structures are also susceptible to dynamic loads varying from harmonic to impulse type of loadings which are in the form of rotating engines, sudden blasts and others. These loadings often pose serious threats to the structural systems by inflicting fatigue damages or by driving the system in tune with its resonating frequency that eventually lead to the complete collapse of the structure. Therefore, a vibration control strategy needs to be devised to protect these structures from unwanted vibrations due to the external loading. A passive vibration control strategy is proposed in the present research work to control the vibration response of a flat panel made of functionally graded material. At first, the FG plate is numerically modelled using the finite element (FE) method to calculate its response due to a point harmonic force. Ceramic (Alumina) is used for the top part of the FG plate while the bottom is made of metal (Aluminium) and the material property is smoothly varied from ceramic to metal using the power law distribution. Then, several resonators consisting of spring-mass system and parallel to each other are attached to both sides of the panel to isolate the response in the resonating frequency ranges. The FE model for the FG plate with resonator is developed and the controlled vibration response is obtained. The controlled response indicates that the resonators are efficient to produce band-gaps in the resonating frequency regime compared to the bare FG plate.

show abstract

Section: Introductionmentioning

confidence: 99%

Vibration Control of Functionally Graded Panels using Parallel Resonators

Sahu¹,

Kumar²,

Bhavyashree³

et al. 2022

KEM

View full text Add to dashboard Cite

show abstract

Development of the Dynamic Stiffness Method for the Out-of-Plane Natural Vibration of an Orthotropic Plate

et al. 2022

View full text Add to dashboard Cite

In this present paper, the dynamic stiffness method (DSM) was formulated to investigate the out-of-plane natural vibration of a thin orthotropic plate using the classical plate theory (CPT). Hamilton’s principle was implemented to derive the governing differential equation of motion for free vibration of the orthotropic plate for Levy-type boundary conditions. The Wittrick–Williams (W–W) algorithm was used as a solution technique to compute the natural frequencies of a thin orthotropic plate for different boundary conditions, aspect ratios, thickness ratios, and modulus ratios. The obtained results are compared with the results by the finite element method using commercial software (ANSYS and those available) in the published literature. The presented results by the dynamic stiffness method can be used as a benchmark solution to compare the natural frequencies of orthotropic plates.

show abstract

Dynamic stiffness method for free vibration analysis of thin functionally graded rectangular plates

Cited by 2 publications

References 12 publications

Vibration Control of Functionally Graded Panels using Parallel Resonators

Vibration Control of Functionally Graded Panels using Parallel Resonators

Development of the Dynamic Stiffness Method for the Out-of-Plane Natural Vibration of an Orthotropic Plate

Contact Info

Product

Resources

About