Interval analysis of dynamic response of structures using Laplace transform

2012 ◽  
Vol 29 ◽  
pp. 32-39 ◽  
Author(s):  
Yaowen Yang ◽  
Zhenhan Cai ◽  
Yu Liu
Keyword(s):  
Dynamic Response ◽  
Laplace Transform ◽  
Interval Analysis

Effects of Impact on the Behavior of a Flexible Multiple Disk Clutch and Brake

1987 ◽  
Vol 109 (4) ◽  
pp. 416-421 ◽  
Author(s):  
Kosuke Nagaya
Keyword(s):  
Dynamic Response ◽  
Laplace Transform ◽  
Dynamic Behavior ◽  
Circular Plate ◽  
Static Load ◽  
Equation Of Motion ◽  
Dynamic Loads ◽  
The Laplace Transform ◽  
The Impact

This paper discusses the dynamic behavior of a flexible multiple disk clutch subjected to dynamic loads. The expressions for obtaining the dynamic response and the transmission torque of the clutch have been derived from the equation of motion of a circular plate by applying the Laplace transform procedure. The results for the clutch subjected to a static load have also been obtained. The comparison between both static and dynamic results has been made to clarify the effect of the impact of the load on the behavior of the clutch.

Interval analysis of rotor dynamic response with uncertain parameters

2013 ◽  
Vol 332 (16) ◽  
pp. 3869-3880 ◽  
Author(s):  
Yanhong Ma ◽  
Zhichao Liang ◽  
Meng Chen ◽  
Jie Hong
Keyword(s):  
Dynamic Response ◽  
Interval Analysis ◽  
Uncertain Parameters ◽  
Rotor Dynamic

scholarly journals Flexural dynamic response of monopile foundations under linear wave loads

2020 ◽  
Vol 4 (1) ◽  
pp. 44-50
Author(s):  
Theofanis Giotis ◽  
◽  
Dimitrios Pavlou ◽  
Keyword(s):  
Dynamic Response ◽  
Laplace Transform ◽  
Linear Wave ◽  
Wave Loads ◽  
Cylindrical Structures ◽  
Double Laplace Transform ◽  
Static Solutions ◽  
The Laplace Transform ◽  
Analytical Result ◽  
The One

An analytical solution for the dynamic response of submerged slender circular cylindrical structures subjected to linear wave loads is presented. A double Laplace transform with respect to temporal and spatial variables is applied both to motion equation and boundary conditions. The dynamic deflection of the beam is obtained by inversion of the Laplace transform. The latter with respect to spatial variable is obtained analytically, while the one concerning the temporal variable is numerically calculated using Durbin numerical scheme. Results in the case of a representative example for a monopile foundation subjected to Airy waves are presented and discussed, and the analytical result is compared against numerical dynamic and static solutions.

scholarly journals Interval analysis of rotor dynamic response based on Chebyshev polynomials

2020 ◽  
Vol 33 (9) ◽  
pp. 2342-2356
Author(s):  
Yanhong MA ◽  
Yongfeng WANG ◽  
Cun WANG ◽  
Jie HONG
Keyword(s):  
Dynamic Response ◽  
Interval Analysis ◽  
Chebyshev Polynomials ◽  
Rotor Dynamic

scholarly journals Thermal Diffusion Effects in a Tunnel with a Cylindrical Lining and Soil System under Explosive Loading

2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Minjie Wen ◽  
Jinming Xu ◽  
Houren Xiong
Keyword(s):  
Dynamic Response ◽  
Laplace Transform ◽  
Thermal Diffusion ◽  
Chemical Potential ◽  
Diffusion Theory ◽  
Theoretical Calculations ◽  
Inverse Laplace Transform ◽  
Circular Tunnel ◽  
Soil System ◽  
Diffusion Effects

An analytical method is employed to study the thermoelastic dynamic response of deep-buried circular tunnel lining-soil system under explosion load, considering thermal diffusion effects. The soil and lining are analyzed as homogeneous elastic media. Based on the generalized thermal diffusion theory and the classical thermal elasticity theory, the thermoelastic dynamic response of a soil-lining system in the event of an explosion is solved using the Laplace transform and Helmholtz decomposition. By using continuity boundary conditions, the corresponding numerical solution is obtained through an inverse Laplace transform. The calculated results are compared to those without the lining and without consideration for the diffusion effect. The effects are analyzed under thermal, mechanical, and chemical coupling of the lining and soil properties, and their geometric parameters on the temperature gradient, displacement, stress, and chemical potential of the system. It provides significant guidance for theoretical calculations and antiexplosion design of the lining tunnel.

scholarly journals Three-Dimensional Semianalytical Solutions for Piezoelectric Laminates Subjected to Underwater Shocks

2020 ◽  
Vol 2020 ◽  
pp. 1-20
Author(s):  
Xu Liang ◽  
Wenbin Lu ◽  
Ronghua Zhu ◽  
Changpeng Ye ◽  
Guohua Liu
Keyword(s):  
Dynamic Response ◽  
Boundary Conditions ◽  
Laplace Transform ◽  
Electric Potential ◽  
Differential Quadrature Method ◽  
Three Dimensional ◽  
Laminated Plates ◽  
Inversion Method ◽  
Variation Principle ◽  
The Laplace Transform

In this study, a piezoelectric laminate is analyzed by applying the Laplace transform and its numerical inversion, Fourier transform, differential quadrature method (DQM), and state space method. Based on the modified variation principle for the piezoelectric laminate, the fundamental equations for dynamic problems are derived. The solutions for the displacement, stress, electric potential, and dielectric displacement are obtained using the proposed method. Durbin’s inversion method for the Laplace transform is adopted. Four boundary conditions are discussed through the DQM. The proposed method is validated by comparing the results with those of the finite element method (FEM). Moreover, this semianalytical method is further extended to describe the dynamic response of piezoelectric laminated plates subjected to underwater shocks by introducing Taylor’s fluid-structure interaction algorithm. Both air-backed and water-backed laminated plates are investigated, and the effect of the fluid is examined. In the time domain, the electric potential and displacements of sample points are calculated under four boundary conditions. The present method is shown to be accurate and can be a useful method to calculate the dynamic response of underwater laminated sensors.

Double Laplace Transform Computing Dynamic Response of the Large Thickness to Span Ratio Beam

2013 ◽  
Vol 834-836 ◽  
pp. 1333-1336
Author(s):  
Wei Zhang
Keyword(s):  
Dynamic Response ◽  
Laplace Transform ◽  
Response Curve ◽  
Sandwich Beam ◽  
Beam Deflection ◽  
Deep Beam ◽  
Torsion Beam ◽  
Beam Dynamic ◽  
Double Laplace Transform ◽  
Beam Bending

In this paper, use double Laplace transform, in the image space deep beam deflection and corner of analytic is obtained,Then use the numerical inversion of Laplace transform ,time domain dynamic response curve is calculated. Also apply to the combined effects of sandwich beam bending and torsion beam dynamic response calculation.

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