A shear block approach has been used to model the transient shear response ofa rigid block with a flexible support system subjected to a non-penetrating side-on hypervelocity projectile impact. The initial velocity imparted to the shear block due to impact has been calculated using a momentum balance between the projectile and the rigid block and has been imposed as an initial condition for the transverse dynamic equation of motion of the block support assembly. The spring constant of the support has been evaluated based on the support height and the shear area. The forcing function has been computed assuming that the entire projectile length is consumed at a constant rate in a finite span of time and a triangular force-time relationship is imposed on the system. The nonhomogeneous transverse equation of motion for the assembly is solved for transverse displacement, velocity and acceleration and the constants for the complimentary and the particular part of the solution are evaluated using a set of initial and boundary conditions. The displacement solution is optimized by setting the velocity equal to zero and obtaining a peak response time at which the displacement is an optimum. The acceleration at this time is found to be negative ensuring that the solution for displacement is a global maximum. Once the peak transverse displacement of the shear block and support assembly is known, peak shear stress and strain can be easily calculated and compared to the shear yield strength of the parent material in order to ensure the structural integrity of the system from a shear strength standpoint and predict the occurrence of dynamic shear failure of the assembly at the interface between the block and the support.
Dynamic shear response due to transient loads using a shear block model
Dynamische Scherbeanspruchung durch transiente Belastungen mit Hilfe eines Scherblockmodells
Computers in Engineering, Proc. of the 1989 ASME Int. Conf. and Exposition ; 1 , Aug ; 183-187
1989
5 Seiten, 2 Bilder, 10 Quellen
Aufsatz (Konferenz)
Englisch
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