An elementary treatise on the Mechanics of Fluids

The characteristics of systems which are nearly in a state of neutral static stability

It is shown that the rate of subsidence or divergence λ of a system which is near a state of neutral static stability can easly be calculated from a knowledge of the mode of displacement in the neutral state and this mode is found by solving a set of linear algebraic equations. The first order correction to the mode can also be found and an...

Some Related Oscillation Problems

Two simple means for establishing a relation between a pair of oscillation problems are briefly discussed. In the first, the displacements are connected by use of a differential operator. The set of natural frequencies is identical for the two problems and results of interest are obtained when the transformed boundary conditions can be...

Flutter of Systems with Many Freedoms

Experience has shown that it is often necessary to retain many degrees of freedom in order to calculate critical flutter speeds reliably, but this entails much labour. Part I discusses the choice of a minimum set of freedoms and suggests that this should be based on the equation of energy and the use of the Lagrangian dynamical equation...

Assessment of errors in approximate solutions of differential equations

The term assessment is applied to any process which enables us to set rigid bounds to the error or to estimate its value. It is shown that upper and lower bounds can be assigned whenever the Green' s function of the problem is one-signed; this is true in many important problems. Another method is applicable to step by step solutions of ordinary...

Technique of the step-by-step integration ordinary differential equations

The College of Aeronautics was founded in 1946 and was granted university status in 1969 becoming the Cranfield Institute of Technology. In 1993 it changed its name to Cranfield University.

Ignoration of distortional co-ordinates in the theory of stability and control

The College of Aeronautics was founded in 1946 and was granted university status in 1969 becoming the Cranfield Institute of Technology. In 1993 it changed its name to Cranfield University.