Simplified optimal design of MDOF structures with negative stiffness amplifying dampers based on effective damping

2019 ◽  
Vol 28 (15) ◽  
Author(s):  
Meng Wang ◽  
Fei‐fei Sun ◽  
Satish Nagarajaiah
Keyword(s):  
Optimal Design ◽  
Negative Stiffness

Optimal design of a cellular material encompassing negative stiffness elements for unique combinations of stiffness and elastic hysteresis

2017 ◽  
Vol 135 ◽  
pp. 37-50 ◽  
Author(s):  
Anna Guell Izard ◽  
Ricardo Fabian Alfonso ◽  
Geoffrey McKnight ◽  
Lorenzo Valdevit
Keyword(s):  
Optimal Design ◽  
Cellular Material ◽  
Negative Stiffness ◽  
Elastic Hysteresis

scholarly journals Linear optimal design of a magnetic repulsion negative stiffness structure

2021 ◽  
pp. 146134842199261
Author(s):  
Zhang Bao ◽  
Wang Xiaoping ◽  
Ge Xinfang
Keyword(s):  
Optimal Design ◽  
Structural Design ◽  
Simulation Analysis ◽  
Structural Parameters ◽  
Negative Stiffness ◽  
Design Parameters ◽  
Structural Parameter ◽  
Design Requirements

To reduce negative stiffness structure’s stiffness non-linearity, enhance its stability during entire working displacement range, and expand its allowable working displacement, the optimal design of negative stiffness structure based on magnetic repulsion is proposed, and its structural parameters are also provided. The new negative stiffness structure’s model is established to determine the structural design parameters. According to the change of the new negative stiffness structure’s stiffness curve, we select the structural parameter to meet the design requirements. In order to verify the effectiveness of the proposed negative stiffness structure, we carried out simulation analysis, and the results show that the optimized negative stiffness structure’s stiffness non-linearity is greatly reduced in a relatively longer displacement, and its stiffness stability is promoted substantially compared with the simple triple-magnet negative stiffness structure.

scholarly journals Global Dynamics and Optimal Design of a New Highly Efficient Nonlinear Energy Sink Based on Magnetic-Elastic Impacts with Negative Stiffness

2021 ◽  
Author(s):  
Shuangbao Li ◽  
Tingting Wang ◽  
Jianen Chen
Keyword(s):  
Energy Dissipation ◽  
Optimal Design ◽  
Nonlinear Energy Sink ◽  
Negative Stiffness ◽  
Global Dynamics ◽  
Elastic Impact ◽  
Highly Efficient ◽  
Dissipation Rates ◽  
Energy Sink ◽  
Nonlinear Energy

Abstract A new highly efficient elastic-impact bistable nonlinear energy sink (EI-BNES) based on magnetic-elastic impacts with negative stiffness and bistability is proposed and optimized through global dynamical analysis. The EI-BNES has better robustness and higher energy dissipation rates with nearly more than 96.5\% for broadband impulsive excitations than the traditional cubic NESs and single bistable NESs. The structure of negative stiffness impacts is realized by reasonable layout of permanent ring magnets and springs. A two-degree-of-freedom (two-DOF) elastic-impact system is established to describe the coupled nonlinear interaction between the main structure and the attached EI-BNES. A global Melnikov reduction analysis (GMRA) is proposed to study global dynamics and homoclinic bifurcations of the reduced two-dimensional subsystem, which is used to explain the mechanism of nonlinear targeted energy transfer (TET) and detect the threshold of impulsive amplitudes of EI-BNES for in-well and compound motions between in-well and cross-well resonance responses. A special type of saddle-center equilibrium points is also found in the non-smooth system of the EI-BNES and can be used to effectively increase the energy dissipation rates. The optimal design criterion of the tuned EI-BNES for better dissipation performance is also first discussed based on the GMRA and numerical techniques for calculating the Melnikov function of the non-smooth systems. The effectiveness of the analytical GMRA is also verified by numerical simulations.

OPTIMAL DESIGN OF ADVANCED NEGATIVE STIFFNESS ABSORBERS

2020 ◽  
Author(s):  
Konstantinos A. Kapasakalis ◽  
Ioannis A. Antoniadis ◽  
Evangelos J. Sapountzakis
Keyword(s):  
Optimal Design ◽  
Negative Stiffness

scholarly journals OPTIMAL DESIGN PARAMETER FOR NEGATIVE STIFFNESS CONTROL BASED ON SKYHOOK CONTROL ANALOGY

2009 ◽  
Vol 65 (3) ◽  
pp. 814-824 ◽  
Author(s):  
Akira IGARASHI ◽  
Masaki HIGUCHI ◽  
Hirokazu IEMURA
Keyword(s):  
Optimal Design ◽  
Design Parameter ◽  
Negative Stiffness ◽  
Stiffness Control
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