Multicriteria Spatial Price Networks: Statics and Dynamics

AbstractSpatial price comparisons rely to a high degree on the quality of the underlying price data that are collected within or across countries. Below the basic heading level, these price data often exhibit large gaps. Therefore, stochastic index number methods like the Country–Product–Dummy (CPD) method and the Gini–Eltetö–Köves–Szulc (GEKS) method are utilised for the aggregation of the price data into higher-level indices. Although the two index number methods produce differing price level estimates when prices are missing, the present paper demonstrates that both can be derived from exactly the same stochastic model. For a specific case of missing prices, it is shown that the formula underlying these price level estimates differs between the two methods only in weighting. The impact of missing prices on the efficiency of the price level estimates is analysed in two simulation studies. It can be shown that the CPD method slightly outperforms the GEKS method. Using micro data of Germany’s Consumer Price Index, it can be observed that more narrowly defined products improve estimation efficiency.

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A model of serious game-based learning media on the basic material of statics and dynamics

Journal of Physics Conference Series ◽

10.1088/1742-6596/1833/1/012043 ◽

2021 ◽

Vol 1833 (1) ◽

pp. 012043

Author(s):

A. S. Zen ◽

D. Nurhadi ◽

Widiyanti

Keyword(s):

Serious Game ◽

Basic Material ◽

Game Based Learning ◽

Statics And Dynamics

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A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams

Mathematics and Mechanics of Solids ◽

10.1177/10812865211010877 ◽

2021 ◽

pp. 108128652110108

Author(s):

Emilio Turco ◽

Emilio Barchiesi ◽

Francesco dell’Isola

Keyword(s):

Numerical Simulations ◽

Mechanical Response ◽

Integration Scheme ◽

Present Contribution ◽

Longitudinal Waves ◽

Deformation Regime ◽

Impulsive Loads ◽

Unit Cells ◽

Statics And Dynamics ◽

Equations Of Motions

This contribution presents the results of a campaign of numerical simulations aimed at better understanding the propagation of longitudinal waves in pantographic beams within the large-deformation regime. Initially, we recall the key features of a Lagrangian discrete spring model, which was introduced in previous works and that was tested extensively as capable of accurately forecasting the mechanical response of structures based on the pantographic motif, both in statics and dynamics. Successively, a stepwise integration scheme used to solve equations of motions is briefly discussed. The key content of the present contribution concerns the thorough presentation of some selected numerical simulations, which focus in particular on the propagation of stretch profiles induced by impulsive loads. The study takes into account different tests, by varying the number of unit cells, i.e., the total length of the system, spring stiffnesses, the shape of the impulse, as well as its properties such as duration and peak amplitude, and boundary conditions. Some conjectures about the form of traveling waves are formulated, to be confirmed by both further numerical simulations and analytical investigations.

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Nonlinear dynamics of heterogeneous shells Part 1. Statics and dynamics of heterogeneous variable stiffness shells

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2021.103669 ◽

2021 ◽

pp. 103669

Author(s):

J. Awrejcewicz ◽

A.V. Krysko ◽

S.A. Mitskevich ◽

M.V. Zhigalov ◽

V.A. Krysko

Keyword(s):

Nonlinear Dynamics ◽

Variable Stiffness ◽

Statics And Dynamics

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