Downloads & Free Reading Options - Results

Elements Of Numerical Analysis By Peter Henric

Elements Of Numerical Analysis By Peter Henric

Elements Of Numerical Analysis By Peter Henric

In the dynamic analysis of structural engineering systems, it is common practice to introduce damping models to reproduce experimentally observed features. These models, for instance Rayleigh damping, account for the damping sources in the system altogether and often lack physical basis. We report on an alternative path for reproducing damping coming from material nonlinear response through the consideration of the heterogeneous character of material mechanical properties. The parameterization of that heterogeneity is performed through a stochastic model. It is shown that such a variability creates the patterns in the concrete cyclic response that are classically regarded as source of damping.

In the dynamic analysis of structural engineering systems, it is common practice to introduce damping models to reproduce experimentally observed features. These models, for instance Rayleigh damping, account for the damping sources in the system altogether and often lack physical basis. We report on an alternative path for reproducing damping coming from material nonlinear response through the consideration of the heterogeneous character of material mechanical properties. The parameterization of that heterogeneity is performed through a stochastic model. It is shown that such a variability creates the patterns in the concrete cyclic response that are classically regarded as source of damping.

A numerical procedure for the structural analysis of a general three- dimensional nature has been developed to provide a reliable solution to the problem of determining the strength of propellers, particularly those with unconventional configurations. A finite element displacement model is used and compatible solid elements in their general form are adopted. The use of interpolation functions to define pertinent curvilinear coordinates in element space gives the finite element technique, new capabilities for dealing with structures of highly complex geometry. This formulation bypasses the constraints of simplifying assumptions (such as those imposed by classical plate theory) and allows a closer approximation to the true structural configuration than is possible by other approaches, including most analytical and numerical methods. The performance of the refined elements described in this report is distinctly superior to those obtainable with commonly available elements, for example, those in NASTRAN. A highly skewed propeller blade under prescribed pressure distributions was chosen for demonstration of the generality of the procedure. Good agreement was obtained with measured displacement and experimental stress data.