Optimal Protection from Impact, Shock, and Vibration

Abstract

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Limiting Performance of Helmets for the Prevention of Head Injury

“…To use the linear programming method, we convert the problem of Eq. (17) to its dual problem [1] Find U Minimize max k∈ [1,N ] {x k } Subject to J 2 H max (18) where H max is the prescribed limit on the HIC. The problems of Eqs (17) and (18) are equivalent.…”

“…The problem of Eqs (38) and (39) is a mathematical programming problem. The problem of Eqs (36) and (37) is a minmax problem, which can be converted to a mathematical programming problem [1]. Then, the problems of Case 1 and Case 2 can be solved using nonlinear optimization methods.…”

“…The limiting performance of a system is found by replacing parts of the system, in particular, the part of the system such as a helmet liner that is intended to provide protection, with generic control forces, and then determining the optimal control forces that generate the best possible performance of this substitute system [1,20]. The system performance is measured by performance criteria which are usually functions of the system response and control forces.…”

Attenuation effect of artificial cavity on air-blast waves in an intelligent defense layer

“…To design a civil defense structure, the reduction of stress-waves needs to be examined. In addition, new stress-wave migrating and weakening systems are expected [7]. In this paper, investigations will be focused on the reduction of stress-waves through an intelligent defense layer embedded with artificial cavities.…”

Control System Design for Occupant Lower Extremity Protection in Vehicle Frontal Collision (Cooperative Control of Active Knee Bolster and Active Lap Belt)

“…In Ref. (7), the optimal reference contact force between the knees and the instrument panel has been obtained by limiting performance analysis (8) . The active knee bolster is effective for reducing the maximum femur load, which was verified by carrying out simulations and experiments.…”