Method of assembling parts with different coefficients of thermal expansion

A method of assembling parts of an aircraft engine, the method comprising:

• forming, at a first temperature, a pre-assembly of a first part of the aircraft engine and a second part of the aircraft engine by aligning the first part and the second part such as to be engageable within one another, including securing the first part to a first support and securing the second part to a second support, the aligning of the first part and the second part includes engaging the first support to the second support, the engaging of the first support to the second support includes engaging a first shaft of the first support to a second shaft of the second support such that one of the first shaft and the second shaft is received into the other of the first shaft and the second shaft, the second part having a coefficient of thermal expansion that is greater than a coefficient of thermal expansion of the first part;
• after the aligning of the first part and the second part, heating the pre-assembly to a second temperature greater than the first temperature to expand the second part relative to the first part;
• and
• compressing the pre-assembly until the first part is inserted into the second part to create a contact interface between the first part and the second part.