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These features were carefully selected in order to ensure, as much as possible, that all columns (i) buckle and fail in "pure" distortional modes and (ii) cover a wide (distortional) slenderness range.
The experimental results, obtained from the tests carried out at The University of Hong Kong, (i) include initial imperfection measurements, equilibrium paths and failure loads and modes, and (ii) provide evidence of the occurrence of flange-triggered local-distortional interaction.
The numerical ultimate strength data obtained are then compared with the predictions of (i) the currently codified DSM (Direct Strength Method) strength curves for the design of columns failing in local and distortional modes and (ii) available DSM-based design approaches specifically developed to handle local distortional interactive failures.
Specifically made explicit are the connections between (i) the virtual work principle (for the adjacent equilibrium configuration) and Rayleigh's principle of extremum critical loads and buckled modes, and (ii) Hamilton's principle (for the adjacent non-equilibrium configuration) and Rayleigh's principle of extremum frequencies and mode shapes, through simple familiar examples.
In the present work we propose, on the basis of this model, (i) to determine, for a given tilt grain boundary, the number of possible coupling modes and (ii) to evaluate the shuffling needed to rearrange atoms as the grain boundary migrates.
The mathematical model assesses the effectiveness of: (i) travel restrictions (for different transport modes) and (ii) local antiviral and hospitalization interventions.
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As described in the main text, we prepared two different configurations for i) the intrinsic binding mode and ii) the inhibitory dynamics of Gd@C82(OH)22.
The multi-functional heat pump system has been run under (i) space cooling mode and (ii) space cooling plus hot-water supply mode, with the same temperature conditions.
b Color palettes at (i) nonburst mode and (ii, iii) burst mode.
The data can be explored using two search modes: (i) the simple mode and (ii) the advanced mode.
The coupling of modes I and II caused mode-I to deviate from its preferred Strouhal number.
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