Vibrations of one-way rectangular stepped thin plates on Winkler's foundation

1998 ◽  
Vol 19 (2) ◽  
pp. 169-177 ◽  
Author(s):  
Zhang Yingshi ◽  
Wang Xieshan
Keyword(s):  
Thin Plates ◽  
Winkler’S Foundation ◽  
Winkler's Foundation

scholarly journals Vibrations of thick plate resting on a deformable foundation under impulse load

2017 ◽  
Vol 2017 (9) ◽  
pp. 46-54
Author(s):  
Wacław Szcześniak ◽  
Magdalena Ataman
Keyword(s):  
Analytical Solution ◽  
Thick Plate ◽  
Governing Equations ◽  
Numerical Example ◽  
Deformable Foundation ◽  
Impulse Load ◽  
Winkler’S Foundation ◽  
Winkler's Foundation

The paper deals with vibrations of thick plate resting on generalized Winkler’s foundation. The plate is subjected to the impulse of force. Governing equations of the problem, analytical solution as well as numerical example are presented. Results of calculations are shownin the figures. Solution and diagrams are obtained by means of “Mathematica” code.

Thermoviscoelastic response of an axially loaded beam under laser excitation and resting on Winkler’s foundation

2019 ◽  
Vol 15 (6) ◽  
pp. 1238-1254 ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
Ashraf M. Zenkour
Keyword(s):  
Interaction Design ◽  
Temperature Response ◽  
Inversion Method ◽  
Transverse Displacement ◽  
Bernoulli Beam ◽  
Content Type ◽  
Ultrasonic Technology ◽  
Winkler’S Foundation ◽  
Euler Bernoulli Beam ◽  
Winkler's Foundation

Purpose The purpose of this paper is to investigate the response of viscoelastic beam resting on a Winkler’s foundation and subjected to an axial initial stress, thermal load and an ultra-fast laser heating. Design/methodology/approach In this introduced model, the authors considered the interaction design between the vertical springs only. The beam is considered as an Euler–Bernoulli beam exposed to sinusoidal varying heat. Findings The deflection and the temperature response of the beam are obtained using Laplace transform and its numerical inversion method. In the numerical example, the effect of the laser pulse duration and viscous damping coefficient on the transverse displacement response of the beam is discussed. The thermoelastic interactions of the beam due to the axial load are also illustrated. Originality/value Physical views of this paper may be useful for the design and vibration analysis of micro-resonators and micro-sensors applications. In addition, the utilization of laser-ultrasonic technology has found wide applications in lab environments, and in an expanding number of cases, it is extending to the industrial field and realm application.

scholarly journals Macroelement analysis of thin orthotropic polygonal plate resting on the elastic Winkler’s foundation

2019 ◽  
Author(s):  
Mykhaylo Delyavskyy ◽  
Krystian Rosiński ◽  
Nina Zdolbicka ◽  
Oksana Bilash
Keyword(s):  
Polygonal Plate ◽  
Winkler’S Foundation ◽  
Winkler's Foundation
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