Design method of active mass damper shock resistance robustness with random parameter structure system

Abstract

The invention discloses a design method of active mass damper shock resistance robustness with random parameter structure system; The method comprises the following steps of: based on the orthogonal expansion theory of random field, carrying out orthogonal expansion on a structure control system which comprises random parameters under random earthquake excitation, to obtain the deterministic scaleexpansion system of the structure control system which comprises random parameters under minimum mean-square error; taking the H-infinity norm of the closed-loop transfer function of the deterministic scale expansion system as a robustness evaluation criterion, solving the optimal static full-state feedback control gain G of the active mass damper, to complete the design of the active mass dampershock resistance robustness. The invention of a design method of active mass damper shock resistance robustness with random parameter structure system is based on the framework of the orthogonal expansion theory of random field, it transforms the structure control system which comprises random parameters into a deterministic scale expansion system, to design a random control system, overcomes thedefect that the classical stochastic optimal control theory has to rely on the structural deterministic model, reduces the influence on the control performance of the control system from the uncertainty of the structural parameters , and opens a new way for the shock resistance robustness design of the random control system.

Description

technical field [0001] The invention belongs to the field of structural vibration control, and in particular relates to an anti-seismic robust design method of an active mass damper with a random parameter structural system. Background technique [0002] Earthquake is a common sudden natural disaster. Once it occurs, it will cause inestimable losses to human beings. In the 21st century, with the development of economy and society, building structures are gradually developing towards performance-based design. Higher requirements are put forward for the safety performance. As an effective active control device, active mass dampers have been widely used to reduce the vibration response of structures under seismic excitation. However, in previous studies, most of the active mass dampers under the framework of classical stochastic optimal control theory were designed based on the deterministic structural control system model and the specific earthquake excitation time history, a...

AI Technical Summary

Problems solved by technology

However, in the process of actual structural design and construction, due to the randomness of manufacturing, installation, measurement, and structural material mechanics, the physical parameters of the structural control system are difficult to accurately determine and show different degrees of randomness.

However, under the interference of random factors in the structural control system, it is difficult to guarantee the control performance and stability of the active mass damper.

Therefore, the traditional design method of active mass damper based on deterministic structural model can no longer meet the development requirements of engineering structure shock absorption technology, and the seismic robust design method of structural control system with random parameters has attracted more and more attention.

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