Gas turbine engine airfoil frequency design

1. 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 a span that is in a range of 0.70-0.85 inch (17.8-20.3 mm);

a chord length extending in a chordwise direction from the leading edge to the trailing edge at 50% span is in a range of 0.85-0.95 inch (21.5-24.0 mm); and

at least two of:

a first mode has a frequency of 4508 up to ±10% Hz;

a second mode has a frequency of 7466 up to ±10% Hz;

a third mode has a frequency of 16104 up to ±10% Hz;

a fourth mode has a frequency of 18397 up to ±10% Hz; and

a fifth mode has a frequency of 20855 up to ±10% Hz;

wherein the airfoil is part of an integrally bladed rotor;

wherein the first mode is a 1EB mode, the second mode is a 1T mode, the third mode is a 1CWB mode, the fourth mode is a 2B mode, and the fifth mode is a 2T mode, the 1EB and 2EB modes correspond to deflections substantially parallel to thickness direction, the CWB mode corresponds to bending that is substantially normal to the thickness direction, and substantially along the chordwise direction, and the 1T and 2T modes corresponds to twisting about the radial direction.

2. The element of claim 1 , wherein three of the first, second, third, fourth, and fifth mode frequencies are present.

3. The element of claim 1 , wherein the frequencies are at zero speed and ambient conditions.

4. The element of claim 3 , wherein at a running speed/condition:

the first mode has a frequency of 4479±10% Hz;

the second mode has a frequency of 7142±10% Hz;

the third mode has a frequency of 15266±10% Hz;

the fourth mode has a frequency of 17621±10% Hz; and

the fifth mode has a frequency of 19904±10% Hz.

5. The element of claim 3 , wherein the frequencies are within ±5% ranges.

6. The element of claim 1 , wherein the airfoil is a nickel-based superalloy.

7. The element of claim 6 , the nickel based superalloy has a density of 0.28-0.32 lb/in 3 (7.7-8.9 g/cm 3 ).

8. The element of claim 6 , the nickel based superalloy has a modulus of elasticity of 27-36 Mpsi (186-248 GPa) at room temperature.

9. A method of repairing an airfoil comprising the steps of:

providing 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 a span that is in a range of 0.70-0.85 inch (17.8-20.3 mm), and a chord length extending in a chordwise direction from the leading edge to the trailing edge at 50% span is in a range of 0.85-0.95 inch (21.5-24.0 mm), wherein the provided airfoil has at least one unrestored mode frequency that is attributable to damage to the airfoil; and

repairing the airfoil to provide at least two of:

a first mode has a frequency of 4508 up to ±10% Hz;

a second mode has a frequency of 7466 up to ±10% Hz;

a third mode has a frequency of 16104 up to ±10% Hz;

a fourth mode has a frequency of 18397 up to ±10% Hz; and

a fifth mode has a frequency of 20855 up to ±10% Hz;

wherein the at least one of the first, second, third, fourth and fifth mode frequencies corresponds to a restored mode frequency that supersedes the unrestored mode frequency;

wherein the airfoil is part of an integrally bladed rotor;

wherein the first mode is a 1EB mode, the second mode is a 1T mode, the third mode is a 1CWB mode, the fourth mode is a 2B mode, and the fifth mode is a 2T mode, the 1EB and 2EB modes correspond to deflections substantially parallel to thickness direction, the CWB mode corresponds to bending that is substantially normal to the thickness direction, and substantially along the chordwise direction, and the 1T and 2T modes corresponds to twisting about the radial direction.

10. The method according to claim 9 , wherein the frequencies are at zero speed and ambient conditions, and wherein the airfoil is a nickel-based superalloy.

11. A turbofan engine comprising:

a fan section;

a compressor section arranged fluidly downstream from the fan section;

a turbine section arranged fluidly downstream from the compressor section;

a combustor arranged fluidly between the compressor and turbine sections; and

an airfoil in at least one of the fan, compressor and turbine sections, the 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 a span that is in a range of 0.70-0.85 inch (17.8-20.3 mm);

a chord length extending in a chordwise direction from the leading edge to the trailing edge at 50% span is in a range of 0.85-0.95 inch (21.5-24.0 mm); and

at least two of:

a first mode has a frequency of 4508 up to ±10% Hz;

a second mode has a frequency of 7466 up to ±10% Hz;

a third mode has a frequency of 16104 up to ±10% Hz;

a fourth mode has a frequency of 18397 up to ±10% Hz; and

a fifth mode has a frequency of 20855 up to ±10% Hz;

wherein the airfoil is provided in the compressor section, the compressor section includes a low pressure compressor fluidly upstream from a high pressure compressor, and the airfoil is in the high pressure compressor, the airfoil is part of a blade of an integrally bladed rotor;

wherein the first mode is a 1EB mode, the second mode is a 1T mode, the third mode is a 1CWB mode, the fourth mode is a 2B mode, and the fifth mode is a 2T mode, the 1EB and 2EB modes correspond to deflections substantially parallel to thickness direction, the CWB mode corresponds to bending that is substantially normal to the thickness direction, and substantially along the chordwise direction, and the 1T and 2T modes corresponds to twisting about the radial direction.

12. The engine of claim 11 , wherein the high pressure compressor includes eight stages.

13. The engine of claim 11 , wherein is a nickel-based superalloy with a density of 0.28-0.32 lb/in 3 (7.7-8.9 g/cm 3 ) and a modulus of elasticity of 27-36 Mpsi (186-248 GPa) at room temperature.

14. The engine of claim 11 , wherein three of the first, second, third, fourth, and fifth mode frequencies are present, and wherein the frequencies are at zero speed and ambient conditions.