PSI - Issue 14

Abhijit Kulkarni et al. / Procedia Structural Integrity 14 (2019) 158–167 4 Abhijit Kulkarni a , Rushikesh Nanaware b , Akhilesh Kulkarni c , Vikrant Garud d / Structural Integrity Procedia 00 (2018) 000–000

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 Radius of rotation for CG of trailer: � � � � cot  First axle Inner and Outer angle: ∅ �� � t�� �� � � �� � �  Second axle Inner and Outer angle: ∅ �� � t�� �� � � �� � � ∅ �� � t�� �� � � �� � � ∅ �� � t�� �� � � �� � �

(4) (5)

(6)

(7)

(8)

Fig. 3. Fifth Wheel mechanism vector diagram.

Ideal steering angles as a function of articulation angles are calculated by using the equation shown above and was verified graphically as well. These ideal angles were used for getting three position required for synthesis by using Freudenstein’s Equation. By this method, the initial link lengths and positions are obtained. The synthesized mechanism was further optimized by using Genetic Algorithm in MATLAB. Required codes were written for the mathematical model for fifth wheel mechanism as shown in Fig. 3, rear cylinder mechanism, tie rod mechanism and second axle mechanism. The basis for the codes are shown below. Fifth Wheel Mechanism by complex number vector method,  For main four bar: � � � � ���� ���������������� ��� � �� �� � � ��� � �� (9) �� � � � �� ���������������� �� �� � �� �� � � �� �� � (10) By Chace method we get, � � �� � ��� �� � �� � �� � �� � �������� � (11)  Front Cylinder Mechanism � � �� � �� ������� ��� � �� � � � � � ���� � ��� �� �� � �� ��� � �� � � � � � ����� (12)