Washing machine appliance and methods for out-of-balance detection and mitigation

A washing machine appliance, comprising:

• a wash tub positioned within a cabinet;
• a wash basket rotatably mounted within the wash tub, the wash basket defining a wash chamber for receipt of a load of articles for washing;
• an agitation element positioned in the wash basket;
• a motor in mechanical communication with the wash basket and the agitation element, the motor being configured for selectively rotating the wash basket and the agitation element within the wash tub;
• a measurement device mounted to the wash tub;
• a water control valve for regulating a flow of water from a water supply into the wash tub;
• and
• a controller in operative communication with the motor, the measurement device, and the water control valve, the controller being configured for:
• regulating the water control valve to flow a volume of water into the wash tub;
• obtaining a wet load weight;
• obtaining a displacement threshold based at least in part on the wet load weight, wherein the displacement amplitude comprises at least one of the displacement or rotation of the wash tub;
• operating the motor to spin the wash basket at a first speed;
• measuring a displacement amplitude of the wash tub using the measurement device;
• determining that the displacement amplitude exceeds the displacement threshold;
• and
• operating the motor to rotate the agitation element and agitate or redistribute the load of articles in response to determining that the displacement amplitude exceeds the displacement threshold.