Dynamic behaviour of pavement on a two-parameter viscoelastic foundation subjected to loads moving with variable speeds

2021 ◽  
pp. 1-19
Author(s):  
Yang Liu ◽  
Hao Fang ◽  
Jun-Jie Zheng ◽  
Yan-Ning Wang
Keyword(s):  
Dynamic Behaviour ◽  
Viscoelastic Foundation ◽  
Two Parameter

scholarly journals Assessment of Hybrid Method on Investigation of Dynamic Behaviour of Isotropic Rectangular Plates Resting on Two-Parameters Foundation

2020 ◽  
pp. 162-174
Author(s):  
Salawu, Saheed Salawu ◽  
Sobamowo, Gbeminiyi Sobamowo
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Hybrid Method ◽  
Dynamic Behaviour ◽  
Natural Frequencies ◽  
Rectangular Plates ◽  
Isotropic Rectangular Plate ◽  
Two Parameters ◽  
Foundation Parameter ◽  
Two Parameter

Dynamic behaviour of isotropic rectangular plate resting on two-parameter foundation is investigated. The governing partial differential equation is transformed to ordinary differential equation due to Galerkin method of separation. The hybrid method of Laplace transform and variation parameters method is used to analyze the ordinary differential equation. Introduction of exact method helps in fast convergence of the results. Obtained analytical solutions are compared with existing literature and confirmed as accurate. They are used to examine the effect of controlling parameters on the plate natural frequencies. Due to obtained results it is obvious that, the increase of both elastic foundation parameter and aspect ratio results in increasing the natural frequency. The solution is found immediately by means of a few iterations

Modèle de comportement dynamique cyclique de sols en grandes déformations

2000 ◽  
Vol 37 (3) ◽  
pp. 723-728 ◽  
Author(s):  
Paul Jouanna ◽  
Mokhtar Mabssout
Keyword(s):  
Dynamic Behaviour ◽  
Large Strains ◽  
Damping Factor ◽  
Empirical Law ◽  
Average Modulus ◽  
Two Parameters ◽  
Soil Behaviour ◽  
Two Parameter ◽  
Extra Parameter ◽  
Deformation Hysteresis

A two-parameter cyclic empirical law, as used traditionnally by the engineer, is not able to fit the dynamic behaviour of soils under large strains. When simulating the classical laboratory results, a Hardin-Drnevich law associated with Masing's rule, although able to fit satisfactorily the average strain modulus with only two parameters (Go, α), is not adapted for fitting the damping factor at moderate and high strains. To overcome this limitation, a modified empirical law with three parameters (Go, α, β) is proposed. According to the initial law, parameter Go characterizes low strains and parameter α allows simulating the average modulus. The extra parameter β is used for adjusting the damping factor, as obtained by Masing's rule, to the experimental results at high strain.Key words: soil behaviour, dynamic, cyclic, large deformation, hysteresis, damping.

Some results of the Barbier-Chalonge-Divan system of stellar classification

1966 ◽  
Vol 24 ◽  
pp. 77-90 ◽  
Author(s):  
D. Chalonge
Keyword(s):  
Early Type ◽  
Parameter System ◽  
Early Type Stars ◽  
Two Parameter

Several years ago a three-parameter system of stellar classification has been proposed (1, 2), for the early-type stars (O-G): it was an improvement on the two-parameter system described by Barbier and Chalonge (3).

Subjective Time Preference and Willingness to Pay for an Energy-Saving Durable Good

2001 ◽  
Vol 32 (3) ◽  
pp. 133-141 ◽  
Author(s):  
Gerrit Antonides ◽  
Sophia R. Wunderink
Keyword(s):  
Willingness To Pay ◽  
Energy Saving ◽  
Subjective Time ◽  
Durable Good ◽  
Discount Function ◽  
Hyperbolic Discount ◽  
The One ◽  
Two Parameter ◽  
Difference Effect ◽  
Better Than

Summary: Different shapes of individual subjective discount functions were compared using real measures of willingness to accept future monetary outcomes in an experiment. The two-parameter hyperbolic discount function described the data better than three alternative one-parameter discount functions. However, the hyperbolic discount functions did not explain the common difference effect better than the classical discount function. Discount functions were also estimated from survey data of Dutch households who reported their willingness to postpone positive and negative amounts. Future positive amounts were discounted more than future negative amounts and smaller amounts were discounted more than larger amounts. Furthermore, younger people discounted more than older people. Finally, discount functions were used in explaining consumers' willingness to pay for an energy-saving durable good. In this case, the two-parameter discount model could not be estimated and the one-parameter models did not differ significantly in explaining the data.

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