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Abstract:The paper deals with the mathematical concept of jerk created in 1825 by Carl Jacobi and introduced in 1936, for applications purposes in dynamics by Aurel A. Beles. Extended in seismic engineering that phenomenon of dynamic amplification is based on the first law of conservation in Mechanics combined with the theory of dislocations developed by Lev Landau. Finally, the two study cases presented in the paper recommend this simply analysis method for advanced practical cases with any degree of accuracy as well as in solving some plausibility inquire as requested by ISO 13822:2010.

The paper deals with a comparative analysis between original and advanced masonry. Both are of high practical interest in buildings and monuments. Particularly, in seismic areas, where they are submitted to the strong actions of earthquakes, the Latin principle Primum non-nocere should be applied. That principle was considered by the Venice Chart in 1964. Later it was resumed by ICOMOS-Iscarsah Recommendations in 2001. The paper presents first some historical data for each type of masonry. The original masonry has a long history when it was well checked by time. On the contrary, the history of advanced masonry is very short. Among the basic proprieties of the original masonry is the ductility of the lime mortar. Its mechanical strengths are lower than that of bricks. In these conditions, the original masonry exhibits the phenomenon of self-defending by adaptation. It is not the case of the advanced masonry which remains stiff. By physical modeling, the main proprieties of original and advanced masonry were proved. Then, by numerical modeling, the testing results were generalized and prepared for further use in design and research. From the comparative analysis results that each of the two types of masonry has specific fields of application.

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The paper deals with the self-defending capacity of buildings and structures against earthquakes. The idea of this concept comes from Hooke's Law of elasticity published in 1678. The original deterministic concept was converted, with the aid of reliability analysis, into a probalistic form. In this way seismic resilience covers a larger field of random phenomena and becomes directly involved in more engineering applications.