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Gearbox behavior is strictly affected by gears, shaft, bearings and casing stiffnesses. As a matter of fact, their contribution to gear dynamics is fundamental for mechanical transmissions design. In this paper a semi-analytical model developed for the estimation of the dynamic behavior of two mating gears is presented and tested on two case studies. Starting with the estimation of the Static Transmission Error, intended as the difference between the theoretical and actual angular position between the two mating gears, the dynamic behavior of the mating elements is estimated by means of a Dynamic Model. The Dynamic Model takes into account the gears, the contact between teeth exchanging loads and the other mechanical elements reduced by means of a DOF reduction technique. Based on the block-oriented approach, Dynamic Model allows the user to easily manage the complexity of the system with further or less elements by adding or removing DOFs.

The aim of this paper is to study in deep the peculiar test-rigs and experimental procedures adopted to the fulfilment of the principal requirements of automotive steel wheels, in particular regarding fatigue damaging. In the discussion, the standard requirements, the OEM specifications and the dimensional and geometric tolerances are approached. As result of an increasingly necessity to improve the performance of the components, innovative virtual test benches are presented. Differently from their traditional precursors, virtual test-rigs give an extended view of the physical behaviour of the component as the possibility to monitor stress-strain distribution in deep. In the first section, the state of the art and the specifications are listed. Secondly, the adopted hardware test-rigs as the experimental tests are described in detail. In the third one, proposed virtual test-rig is discussed.

In this paper a test bench for measuring the Static Transmission Error of two mating gears is presented and a comparison with the results obtained with the commercial software GeDy TrAss is shown. Static Transmission Error is considered as the main source of overloads and Noise, Vibration and Harshness issues in mechanical transmissions. It is defined as the difference between the theoretical angular position of two gears under load in quasi-static conditions and the real one. This parameter strictly depends on the applied torque and the tooth macro and micro-geometry. The test bench illustrated in this work is designed to evaluate the actual Static Transmission Error of two gears under load in quasi-static conditions. In particular, this testbed can be divided in two macro elements: the first one is the mechanism composed by weights and pulleys that generates a driving and a braking torque up to 500 Nm.

In this paper a semi-analytical (SA) algorithm developed for the solution of the contact problem between two mating spur gears is presented and its application to the study of engagement dynamics is shown. Firstly, a quasi-static two-dimensional (2-D) approach is implemented to solve the contact taking into account several flexibility contributions related to the mating gears. In detail, a modified Hertzian model for the investigation of the real contact area considering the variable curvature of the profiles is developed. A comparison between this model and the classical Hertzian model is shown: the limitations of the classical method, for instance the possibility of analyzing bodies with varying curvatures and the peaks of pressure due to corner contact are therefore overcome. Furthermore, all the different tooth and gear deformations due to the meshing interaction are shown. This allows the computation of the Static Transmission Error (STE), main source of vibration and noise.

The complexity of automotive market, the request of new gearbox layout able to improve the efficiency of a vehicle and the requirement of quick and effective design of gearboxes push the designers to seek new technologies, new layouts, new solutions. The typical development of a gearbox requires a lot of time and engineers' effort and it often implies a lot of time to define the right layout. The idea of developing a "paradigm" able to guide the designer through the design process seems to be effective. Starting from the experience of a code called "Engine Paradigm" where such idea was firstly implemented, the authors propose in the present paper the development of a code able to suggest a first attempt design of a gearbox. The "Gearbox Paradigm" code requires few data introduction, as torque, power, number of gears, some geometrical constraints such as the axes gap the gearbox layout, and the code elaborates a proposal of CAD design of a gearbox.

In the powertrain technology, designers must be careful on oil pan design in order to obtain the best noise, vibration and harshness (NVH) performance. This is a great issue for the automotive design because they affect the passengers' comfort. In order to reduce vibration and radiated noise in powertrain assembly, oil pan is one of the most critical components. The high stiffness of the oil pan permits to move up the natural modes of the component and, as a consequence, reduce the sound emission of the component itself. In addition, the optimized shape of the component allows the increase of natural frequency values of the engine assembly. The aim of this study is the development of a methodology to increase the oil pan stiffness starting from a sketch of the component and adding material where it is needed. The methodology is tested on a series of different models: they have the same geometry but different materials.

Internal combustion engine design is a complex operation in which a large quantity of variables must be considered. In industrial field, a new internal combustion engine project starts from the development of well-established solution and from the designer experience. The aim of this research is the development of a series of procedures to design and to verify all main engine components starting from a deep bibliographic research. Every engine component (crankshaft, piston, piston pin, connecting rod, engine block, engine head, bearings and valvetrain) has its own interface for the design and the check. First of all, a deep bibliographic analysis was performed in order to find the best design procedures and a series of geometrical and thermodynamic data for a generic internal combustion engine. All these data are used as calculation input data.

In some situations, designers need quick and powerful instruments to provide information for philosophical choices in powertrain layout. The increase of computational capabilities favors the implementation of complex equations and the possibility of making powerful software for supporting technical decisions. The paper presents a numerical model of a shaft that provides information about shaft dynamic and structural behavior. The model can be used for simulating gearbox shaft, drive shaft or axle shaft. By means of a MATLAB/Simulink® model, a finite element (FE) procedure is implemented: the shaft is depicted as its inertial and stiffness features and it is also possible to evaluate stresses, strains and boundary condition forces. In addition, MATLAB/Simulink® powerful allows evaluating shaft behavior during working or test conditions, such as the abuse maneuver, and not only in an abstract situation used by analysts for structural and dynamic calculations.

The paper presents experimental investigation and numerical simulation of a commercial exhaust manifold gasket. Non-linearities in geometric and material behavior make exhaust manifold gasket modeling quite complicated. In the paper, two different FE modeling techniques are compared in order to suggest the best modeling way. Experimental data are collected in order to validate the numerical models. Differences between the two modeling techniques are emphasized and a choice criterion is suggested.

Rattling noise is one of the most significant noises pertinent to manual gearboxes. The paper deals with modeling and numerical analysis of commercial powertrains. Multi-body modeling is adopted to investigate gear rattle phenomenon in several engine operating conditions. The linear and nonlinear models include: crankshaft with pistons and flywheel, friction clutch, primary and secondary shafts with their corresponding gears pinion, differential crown wheel, axle shaft, tires and vehicle body. In order to analyze the gear rattle, the numerical analysis is made with respect to teeth relative displacement, teeth contact force and index β.