Closed-form Sinusoidal-input Describing Function for the Exact Backlash Model

Sinusoidal-Input Describing Function of a Simple Biomolecular Signaling System

Understanding biomolecular systems is important both for the analysis of naturally occurring systems as well as for the design of new ones. However, mathematical tools for analysis of such complex systems are generally lacking. Here, we present an application of the method of sinusoidal-input describing function for the analysis of such a system. Using this technique, we approximate the input-o...

Describing Function Analysis of an Anti-Backlash Controller

Despite advances in design and fabrication, backlash remains a fundamental problem in precision mechanical applications. Deadzone and "play" in mechanical couplings cause hysteretic behavior as can structural components with memory. This behavior can degrade the performance of mechanical systems. When the system involves servo control, backlash can cause undesirable limit cycle oscillations. Ou...

Closed form Delay Model for on-Chip VLSIRLCG Interconnects for Ramp Input for Different Damping Conditions

Fast delay estimation methods, as opposed to simulation techniques, are needed for incremental performance driven layout synthesis. On-chip inductive effects are becoming predominant in deep submicron interconnects due to increasing clock speed and circuit complexity. Inductance causes noise in signal waveforms, which can adversely affect the performance of the circuit and signal integrity. Sev...

Analysis of Systems with Backlash and Impacts through the Describing Function

Exact Closed-Form Solution for Vibration Analysis of Truncated Conical and Tapered Beams Carrying Multiple Concentrated Masses

In this paper, an exact closed-form solution is presented for free vibration analysis of Euler-Bernoulli conical and tapered beams carrying any desired number of attached masses. The concentrated masses are modeled by Dirac’s delta functions which creates no need for implementation of compatibility conditions. The proposed technique explicitly provides frequency equation and corresponding mode ...