MINIMUM COST DESIGN OF PLANE NONLINEAR ELASTIC BUILDING FRAMES OR CONSTRAINED COMPLIANCE AND MAXIMUM STRAIN CONTROL

Active vibration control of smart building frames by feedback controllers

In this paper the active vibration control of a four-story shear frame instrumented with piezoelectric actuators is presented. The piezoelectric actuators are hosted on the columns in two manners and the produced controlling forces by actuators are considered in the equation of motion. The smart structure modeling and control design is carried out using MATLAB software in state space form. Subs...

Maximum face-constrained coloring of plane graphs

Tight Frames with Maximum Vanishing Moments and Minimum Support

The introduction of vanishing moment recovery (VMR) functions in our recent work (also called “fundamental functions” in an independent paper by Daubechies, Han, Ron, and Shen) modifies the so-called “unitary extension principle” to allow the construction of compactly supported affine frames with any desirable order of vanishing moments up to the order of polynomial reproduction of the given as...

MINIMUM WEIGHT AND DRIFT DESIGN OF STEEL MOMENT FRAMES SUBJECTED TO BLAST

Design of blast resistant structures is an important subject in structural engineering, attracting the attention of governments, researchers, and engineers. Thus, given the benefits of optimization in engineering, development and assessment of optimization methods for optimum design of structures against blast is of great importance. In this research, multi-objective optimization of steel momen...

Degenerate weakly nonlinear elastic plane waves

Weakly nonlinear plane waves are considered in hyperelastic crystals. Evolution equations are derived at a quadratically nonlinear level for the amplitudes of quasi-longitudinal and quasi-transverse waves propagating in arbitrary anisotropic media. The form of the equations obtained depends upon the direction of propagation relative to the crystal axes. A single equation is found for all propag...