Izlozhena teoriya vibrozashchity sistem s primeneniem izokhronnykh katkovykh seysmoamortizatorov i gasiteley,konstruktsii kotorykh zapatentovany v Ukraine. Dlya ikh sozdaniya byla ispol"zovana spetsial"naya napravlyayushchaya krivaya – brakhistokhrona dlya tsilindra, uravneniya kotoroy vpervye byli vyvedeny v etoy knige. Na osnove uravneniy Appelya byli postroeny matematicheskie modeli i izucheno dinamicheskoe povedenie takikh mekhanicheskikh sistem. Poluchena formula dlya chastoty sobstvennykh kolebaniy rabochego tela gasiteley. Razrabotan metod opredeleniya amplitudno-chastotnykh kharakteristik dlya issleduemogo klassa nelineynykh vibrozashchitnykh sistem. Predlozhena i realizovana prostaya graficheskaya metodika opredeleniya parametrov nastroyki gasiteley. Postroena matematicheskaya model" i vypolnen chislennyy analiz dinamiki seysmozashchitnoy sistemy s katkovym seysmoamortizatorom. Chislennye issledovaniya dinamicheskogo povedeniya vibrozashchitnykh sistem pokazali, chto ispol"zovanie izokhronnykh gasiteley i seysmoamortizatorov obespechivaet vysokiy uroven" vibrozashchity nesushchikh ob"ektov. Kniga prednaznachena dlya nauchnykh spetsialistov v takikh oblastyakh,kak vibrozashchita dinamicheskikh sistem, teoriya kolebaniy,negolonomnaya mekhanika, variatsionnoe ischislenie.