Session 1 - Vehicular Vibrations.- Keynote talk - Vehicle Vibration Prediction - Why and How?.- The Selection of a Criterion to Evaluate Ride Discomfort in Off-Road Vehicles.- Applications of the Statistical Discrete Element Theory to Vehicle Response.- Towards an Integrated Procedure for the Mathematical Modelling of Ship Vibrations.- Session 2 - Acoustics.- Keynote talk - Acoustics in Marine Structures.- Radiation of Water-Borne Noise due to Ship's Machinery Part I: Air-Borne Transmission.- Radiation of Water-Borne Noise due to Machinery Generated Sound. Part II: The Structure-Borne Problem.- A Finite Element Solution for the Prediction of Transmission Loss and Radiation Efficiency of Panels.- Session 3 - Fluid/Structural Vibrations.- Keynote talk - Finite Element Modelling in Structural Dynamics.- Fluid-elastic Whirling of Infinite Tube Rows and Arrays in Cross-Flow.- Free Vibration Characteristics of Laminated Orthotropic Thin Cylindrical Shells with Free Edges.- Seismic Vibrational Loadings Induced by Rocking of Free-Standing Bodies.- Session 4 - Special Problems and Developing Areas.- Some Substantial Effects of Nonlinear Coupling Between Modes of Vibration.- Analysis of Vibration Compacting Machines.- Predicting the Vibration Environment of Switch Gear Equipment during Seismic Events using Test Data.- A Procedure for the Mechanical Design of Military Aircraft Head-Up-Displays to Withstand Bird-Strike Loads.- Numerical Solutions of a Model Nonlinear Wave Equation.- List of Delegates.

In recent years, mathematical modelling allied to computer simulation has emerged as en effective and invaluable design tool for industry and a discipline in its own right. This has been reflected in the popularity of the growing number of courses and conferences devoted to the area. The North East Polytechnics Mathematical Modelling and Computer Simulation Group has a balanced representation of academics and industrialists and, as a Group, has the objective of promoting a continuing partnership between the Polytechnics in the North East and local industry. Prior to the present conference the Group has organised eight conferences with a variety of themes related to mathematical modelling and computer simulation. The theme chosen for the Polymodel 9 Conference held in Newcastle upon Tyne in May 1986 was Industrial Vibration Modelling, which is particularly approp riate for 'Industry Year' and is an area which continues to present industry and academics with new and challenging problems. The aim of the Conference was to calIon and use the modelling experience of eminent academics and industrialists who are deeply involved in the solution of vibration problems. To this end the following four sessions were organised: (1) Vehicular Vibrations led by keynote speaker Dr S King (Westland Helicopters Ltd) (2) Acoustics led by Dr M Petyt (Southampton University) (3) Fluid/Structural Vibrations led by G T Willshare (British Maritime Technology) (4) Special Problems and Developing Areas to include nonlinearities, ultrasonics, transients, elastic stability, etc.