1976Transactions of the Architectural Institute of JapanOpen access

ON THE CONVERSION OF A HYSTERETIC STRUCTURE INTO THE SYSTEM WITH EQUIVALENT RESTORING FORCE (PART 2) : Investigation on Characteristics and Appricability of the Restoring Force Model Expressed in terms of Power Function

Hiroshi Kitagawa

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Abstract

In this paper, as a application of the fundamental theory considered in the previous reports (Part 1), author proposed to the method of approximate conversion to obtaine restoring force model expressed in terms of power function by formalizing skeleton curve and area surrunded by hysteresis loops. From the results applied this method of conversion to a few restoring force characteristics obtained from experiments, we found that the restoring force models were reflected in sufficiently the vibrational characterestics for hysteresis systems. The other hand, as a result applying to known restoring force characteristics to investigate the limit for applicability of restoring force model expressed in terms of power function, we found that it could be applied enough as far as nonlinearlity is not strong remarkably.

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In this paper, as a application of the fundamental theory considered in the previous reports (Part 1), author proposed to the method of approximate conversion to obtaine restoring force model expressed in terms of power function by formalizing skeleton curve and area surrunded by hysteresis loops. From the results applied this method of conversion to a few restoring force characteristics obtained from experiments, we found that the restoring force models were reflected in sufficiently the vibrational characterestics for hysteresis systems. The other hand, as a result applying to known restoring force characteristics to investigate the limit for applicability of restoring force model expressed in terms of power function, we found that it could be applied enough as far as nonlinearlity is not strong remarkably.

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Available abstract

In this paper, as a application of the fundamental theory considered in the previous reports (Part 1), author proposed to the method of approximate conversion to obtaine restoring force model expressed in terms of power function by formalizing skeleton curve and area surrunded by hysteresis loops. From the results applied this method of conversion to a few restoring force characteristics obtained from experiments, we found that the restoring force models were reflected in sufficiently the vibrational characterestics for hysteresis systems. The other hand, as a result applying to known restoring force characteristics to investigate the limit for applicability of restoring force model expressed in terms of power function, we found that it could be applied enough as far as nonlinearlity is not strong remarkably.

Key concepts: Restoring force, Hysteresis, Function (biology), Power (physics), Limit (mathematics), Control theory (sociology), Mathematics, Physics

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ON THE CONVERSION OF A HYSTERETIC STRUCTURE INTO THE SYSTEM WITH EQUIVALENT RESTORING FORCE (PART 2) : Investigation on Characteristics and Appricability of the Restoring Force Model Expressed in terms of Power Function — Research Paper | ScholarLens