Gas turbine engine airfoil frequency design

A turbomachine airfoil element comprising:

• an airfoil having pressure and suction sides spaced apart from one another in a thickness direction and joined to one another at leading and trailing edges, the airfoil extending in a radial direction of a span that is in a range of 1.01-1.15 inch (25.7-29.3 mm);
• a chord length extending in a chordwise direction from the leading edge to the trailing edge at 50% of the span is in a range of 0.54-0.66 inch (13.6-16.8 mm);
• and
• at least three of:
• a first mode has a frequency of 2033 up to ± 15% Hz;
• a second mode has a frequency of 7023 up to ± 15% Hz;
• a third mode has a frequency of 12082 up to ± 15% Hz;
• and
• a fourth mode has a frequency of 19769 up to ± 15% Hz;
• wherein the frequencies are at a zero speed and ambient conditions, and the frequency of any given mode does not exceed the frequency of a higher order mode;
• wherein the first mode is a 1EB mode, the second mode is a 1T mode, the third mode is a 2EB mode, and a fourth mode is a 2T mode, the 1EB and 2EB modes correspond to deflections substantially parallel to the thickness direction, and the 1T and 2T modes correspond to twisting about the radial direction;
• wherein the airfoil element has three of the modes, the airfoil element is part of a stator that is a cantilevered stator vane, the airfoil is solid and without internal cavities;
• wherein the airfoil is a nickel-based superalloy, the nickel-based superalloy has a density of 0.28-0.32 lb/in3 (7.7-8.9 g/cm3), the nickel-based superalloy has a modulus of elasticity of 27-36 Mpsi (186-248 GPa) at room temperature.