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Pairod Singhatanadgid. A semi-analytical-numerical study on vibration of stepped plates. (). King Mongkut's University of Technology North Bangkok. Central Library. : , 2011.
A semi-analytical-numerical study on vibration of stepped plates
Name: Parunya Taranajetsada
Organization :
Chulalongkorn University. Faculty of Engineering
Name: Pairod Singhatanadgid
Organization :
Chulalongkorn University. Faculty of Engineering
Email :
pairod.s@chula.ac.th
keyword:
Stepped plate
ThaSH:
Vibration
Abstract:
This study investigated vibration behaviors of rectangular stepped orthotropic plates. Natural frequencies and mode shapes of the specimens are determined based on the variational principle of minimum total potential energy. The specimens of interest are specially orthotropic rectangular plates with a stepped thickness in one direction and a constant thickness in the other direction. Boundary conditions of the specimens are a combination of simple, clamped and free supports. The Kantorovich method is employed as a numerical tool to solve the problem. In this method, the out-of-plane displacement is assumed in form of a series of product of function of x and function of y. With the principle of minimum total potential energy and assumed function in one direction, the governing energy condition in form of a partial differential equation is reduced to a set of governing ordinary differential equations and a set of boundary conditions. Since the specimens have stepped thickness in y direction, the functions of y in the displacement function is written for each section and related to each other by continuity conditions. The equations are finally rewritten in the form of an eigenvalue problem where the eigenvalues and eigenvectors represent the natural frequencies and mode shapes, respectively. With known functions in one direction, the eigenvalues and eigenvectors, i.e. functions in the other direction can be solved. The converged eigenvalue is obtained from the iterative calculations. The solutions from this study are verified with the solutions from other studies and the finite element method. It is found that the solutions from the proposed method corresponds very well with solutions from other studies and those of the finite element analysis. Since Kantorovich method is a semi-analytical method and its solution can be said to be an exact solution, given that the numerical method used to solve the equations is accurate. The solutions from this study can be served as benchmark solutions for other numerical methods.
King Mongkut's University of Technology North Bangkok. Central Library
Address:
BANGKOK
Email:
library@kmutnb.ac.th
Created:
2011
Modified:
2019-08-22
Issued:
2019-07-30
บทความ/Article
application/pdf
BibliograpyCitation :
ใน มหาวิทยาลัยเกษตรศาสตร์ คณะวิศวกรรมศาสตร์ และสมาคมวิศวกรเครื่องกลไทย. การประชุมวิชาการเครือข่ายวิศวกรรมเครื่องกลแห่งประเทศไทย ครั้งที่ 25 (ME-NETT 2011) (AMM34). กระบี่ : มหาวิทยาลัยเกษตรศาสตร์
eng
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ใช้เวลา
0.028709 วินาที
Parunya Taranajetsada
| Title | Contributor | Type |
|---|---|---|
| A semi-analytical-numerical study on vibration of stepped plates
มหาวิทยาลัยเทคโนโลยีพระจอมเกล้าพระนครเหนือ Parunya Taranajetsada;Pairod Singhatanadgid | บทความ/Article |
Pairod Singhatanadgid