Helical springs within the primary suspension are critical components for isolating the whole vehicle system from vibration generated at the wheel/rail contact. As train speeds increase, the frequency region of excitation becomes larger, and a simplified static stiffness can no longer represent the real stiffness property in a vehicle dynamic model. Coil springs in particular exhibit strong int...

The forced frequency analysis is very important in the design of automotive structures. In particular, the Frequency Response Functions (FRF) computation is an important step in determining Noise, Vibration and Harshness (NVH) of any automotive vehicle. In general, the CAE engineer must address the severity and compliance of the design limits set in the NVH environment. Usually, a CAE engineer ...

The direct problem of free vibration analysis via finite-element formulation is well known: the element mass and stiffness matrices are assembled to form the system mass and stiffness matrices; the problem is reduced to standard eigenvalue form; the eigenvalues and eigenvectors are found. The paper discusses some inverse problems relating to finite-element formulations for simple chain-like str...

In this paper, the free vibration analysis of moderately thick rectangular plates axially moving with constant velocity and subjected to uniform in-plane loads is investigated by the spectral finite element method. Two parallel edges of the plate are assumed to be simply supported and the remaining edges have any arbitrary boundary conditions. Using Hamilton’s principle, three equations of moti...

An exact dynamic stiffness method is proposed for the free vibration analysis of multi-body systems consisting flexible beams and rigid bodies. The theory sufficiently general in that bodies can be any shape or size, but importantly, permits connections to number at arbitrary points oriented angles. For beam members, a range theories including Bernoulli-Euler Timoshenko are applied. assembly pr...

Rotating beams have been considerably appealing to engineers and designers of complex structures i.e. aircraft’s propeller and windmill turbines. In this paper, a new flexibility-based method is proposed for the dynamic analysis of rotating non-prismatic Euler-Bernoulli beams. The flexibility basis of the method ensures the true satisfaction of equilibrium equations at any interior point of the...