caa a22 4500 469050721 CHVBK 20180323132830.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF00162100 doi (NATIONALLICENCE)springer-10.1007/BF00162100 Numerical algorithm for the dynamic analysis of base-isolated structures with dry friction [Elektronische Daten] [S. Dimova, V. Georgiev] This paper deals with the techniques for solving ordinary differential equations with essential nonlinearity arising from the representation of frictional force by the sign function of the relative velocity. This problem is connected with dynamic behavior studies of base-isolated structures with dry friction devices. Mathematical evidence is presented concerning the inaccuracies of the solution which are connected with the representation of the frictional force by the sign function. An approximation of this sign model is made on the basis of the appropriate linearization of a small part of the frictional force function. A numerical algorithm for the dynamic analysis of base-isolated structures with dry friction is proposed. Numerical tests are carried out for establishing the exactness of the proposed techniques. The obtained results prove the accuracy of the techniques. Kluwer Academic Publishers, 1992 Frictional force modeling nationallicence numerical algorithm nationallicence ordinary differential equation with essential nonlinearity nationallicence sign function nationallicence numerical solution nationallicence base-isolated structures nationallicence dynamic behavior studies nationallicence Dimova S. Central Laboratory for Seismic Mechanics and Earthquake Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. bl. 3, 1113, Sofia, Bulgaria aut Georgiev V. Institute of Mathematics, Section Mathematical Physics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. bl. 8, 1113, Sofia, Bulgaria aut Natural Hazards Kluwer Academic Publishers 6/1(1992-07-01), 71-86 0921-030X 6:1<71 1992 6 11069 https://doi.org/10.1007/BF00162100 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00162100 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dimova S. Central Laboratory for Seismic Mechanics and Earthquake Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. bl. 3, 1113, Sofia, Bulgaria aut NATIONALLICENCE 700 1- Georgiev V. Institute of Mathematics, Section Mathematical Physics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. bl. 8, 1113, Sofia, Bulgaria aut NATIONALLICENCE 773 0- Natural Hazards Kluwer Academic Publishers 6/1(1992-07-01), 71-86 0921-030X 6:1<71 1992 6 11069 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer