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Abstrakt-Deutsche

May 2020

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Alexander Taushanov

University of Architecture, Civil Engineering and Geodesy

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Geometric Stiffness Matrix for Clamped-Hinged Beam Element Considering Shear Strains

Article

January 1998

Ivan Markov · Alexander Taushanov

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Abstract1998

May 2020

Article

Dynamic investigation of a mass systems with energy dissipation

January 2002

Alexander Taushanov

The author expresses a hypothesis about the resistance in SDOF mass systems, which leads to energy dissipation. The concept of a third derivative of the movement in time (jerk) and a dimensionless quantity of it is applied. On this basis, a homogeneous differential equation of motion in free vibration was compiled and solved. A comprehensive mathematical analysis was performed to clarify the ... [Show full abstract] influence of the two ratios that determine the motion of a mass system. Numerical examples show how the values of the dimensionless ratios can be determined through experimental results.

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Definition of the Influence Vector in Earthquake Analysis

November 2012

Alexander Taushanov

Procedures for computing the response of structures during an earthquake (or another dynamic ground motion) involves a calculation of the modal participation factor, which formula includes influence vector {r}. The definition of the influence vector is often given as a "displacement transformation vector that expresses the displacement of each structure degree of freedom due to static application ... [Show full abstract] of a unit support displacement" or something similar. That kind of definitions produces correct results only in regular structures depending on the directions of the DOFs and the ground excitation. But in many cases the usage the definitions mentioned above leads to wrong results, even sometimes to zero solutions. In this paper another method to calculate the modal participation factor is proposed based on the usage of the load distribution vector {R} and it is correct in all cases. A correct formula for the influence vector as a function of load distribution vector is also proposed.

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Full-text available

Jerk at the Combined Response Spectrum Graph

March 2019

Alexander Taushanov

This paper proposes formulas and presents graphs for jerk response spectrum for a given earthquake ground motion with different damping ratios. A few variants of combined response spectrum graph are shown. All graphs include the jerk response spectrum. The fractional derivative theory was used to improve the combined spectrum representation. A parameter (named miamisi) for assessing the size of ... [Show full abstract] the earthquake impact, incorporating the displacement and acceleration, is suggested.