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 0.55-0.65 inch (14.0-16.5 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 0.76-0.86 inch (19.3-21.8 mm); and

at least two of:

a first mode has a frequency of 3335 up to ±10% Hz;

a second mode has a frequency of 5715 up to ±10% Hz; and

a third mode has a frequency of 41797 up to ±10% Hz;

wherein the frequencies are at 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 an ND0-TE @ID mode, the second mode is an ND0-LE @ID mode and the third mode is an ND51-1EBLE mode, the ND0-TE @ID mode corresponds to deflections in unison axially forward and aft at an inner diameter of the trailing edge, the ND0-LE @ID mode corresponds to deflections in unison axially forward and aft at an inner and outer diameter of the leading edge, and the ND51-1EBLE mode corresponds to a lowest aliased nodal diameter in which there are fifty-one peaks/troughs vibrating in the radial direction at each of inner and outer diameters of a stator stage of an array of airfoils;

wherein the airfoil is part of a stator; and

wherein the airfoil is a nickel-based superalloy, the nickel-based superalloy has a density of 0.28-0.32 lb/in 3 (7.7-8.9 g/cm 3 ), and the nickel-based superalloy has a modulus of elasticity of 27-36 Mpsi (186-248 GPa) at room temperature.

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

3. The element of claim 1 , wherein at a minimum cruise speed of 18200-20200 rpm at Mach 0.8 at 35,000 feet:

the first mode has a frequency of 3108 up to ±10% Hz;

the second mode has a frequency of 5326 up to ±10% Hz; and

the third mode has a frequency of 38952 up to ±10% Hz.

4. The element of claim 1 , wherein the frequencies are up to ±5% Hz.

5. 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 0.55-0.65 inch (14.0-16.5 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 0.76-0.86 inch (19.3-21.8 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 3335 up to ±10% Hz;

a second mode has a frequency of 5715 up to ±10% Hz; and

a third mode has a frequency of 41797 up to ±10% Hz;

wherein at least one of the first mode frequency, second mode frequency and third mode frequency corresponds to a restored mode frequency that supersedes the unrestored mode frequency, wherein the frequencies are at 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 an ND0-TE @ID mode, the second mode is an ND0-LE @ID mode and the third mode is an ND51-1EBLE mode, the ND0-TE @ID mode corresponds to deflections in unison axially forward and aft at an inner diameter of the trailing edge, the ND0-LE @ID mode corresponds to deflections in unison axially forward and aft at an inner and outer diameter of the leading edge, and the ND51-1EBLE mode corresponds to a lowest aliased nodal diameter in which there are fifty-one peaks/troughs vibrating in the radial direction at each of inner and outer diameters of a stator stage of an array of airfoils;

wherein the airfoil is part of a stator; and

wherein the airfoil is a nickel-based superalloy, the nickel-based superalloy has a density of 0.28-0.32 lb/in 3 (7.7-8.9 g/cm 3 ), and the nickel-based superalloy has a modulus of elasticity of 27-36 Mpsi (186-248 GPa) at room temperature.

6. 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 0.55-0.65 inch (14.0-16.5 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 0.76-0.86 inch (19.3-21.8 mm); and

at least two of:

a first mode has a frequency of 3335 up to ±10% Hz;

a second mode has a frequency of 5715 up to ±10% Hz; and

a third mode has a frequency of 41797 up to ±10% Hz;

wherein the frequencies are at zero speed and ambient conditions, and the frequency of any given mode does not exceed the frequency of a higher order mode;

wherein the airfoil is provided in the compressor section, the compressor section includes a high pressure compressor fluidly downstream from a low pressure compressor, and the airfoil is in the high pressure compressor, the airfoil is part of a stator, and the high pressure compressor includes eight stages;

wherein the first mode is an ND0-TE @ID mode, the second mode is an ND0-LE @ID mode and the third mode is an ND51-1EBLE mode, the ND0-TE @ID mode corresponds to deflections in unison axially forward and aft at an inner diameter of the trailing edge, the ND0-LE @ID mode corresponds to deflections in unison axially forward and aft at an inner and outer diameter of the leading edge, and the ND51-1EBLE mode corresponds to a lowest aliased nodal diameter in which there are fifty-one peaks/troughs vibrating in the radial direction at each of inner and outer diameters of a stator stage of an array of airfoils; and

wherein the airfoil is a nickel-based superalloy, the nickel-based superalloy has a density of 0.28-0.32 lb/in 3 (7.7-8.9 g/cm 3 ), and the nickel-based superalloy has a modulus of elasticity of 27-36 Mpsi (186-248 GPa) at room temperature.