Securing a second object to a first object

A method of anchoring a connector in a first object, wherein the first object comprises a first building layer and a low density layer adhering to the first building layer, the low density layer comprising a structure that includes gas-filled cavities, wherein a first density of the first building layer is higher than a second density of the low density layer, the method comprising the steps of:

• providing the first object and providing the connector, the connector having a liquefiable material that is liquefiable by mechanical vibration;
• bringing the connector into contact with the low density layer;
• pressing the connector against the low density layer and coupling mechanical vibration energy into the connector to cause the low density layer to be compressed between the connector and the first building layer to yield a compressed portion of the low density layer, wherein the compressed portion has a compressed structure, until a flow portion of the liquefiable material becomes flowable and is pressed into structures of the compressed portion;
• stopping the mechanical vibration energy and causing the flow portion to re-solidify to anchor the connector in the compressed portion that maintains the compressed structure.

A method of anchoring a connector in a first object, wherein the first object comprises a low density layer and a proximal building layer, the low density layer comprising a structure of elements and gas-filled spaces, the method comprising:

• providing the first object with the proximal building layer locally removed or disrupted to yield an access hole in the proximal building layer to gain access to the low density layer, without removing the low density layer,
• providing the connector, the connector having a liquefiable material that is liquefiable by mechanical vibration;
• bringing the connector into contact with the low density layer;
• pressing the connector against the low density layer and coupling mechanical vibration energy into the connector to cause the connector to penetrate into the low density layer, until a flow portion of the liquefiable material becomes flowable and is caused to interpenetrate spaces between the elements so that an intertwined structure of the liquefiable material and the elements results;
• and
• stopping the mechanical vibration energy and causing the flow portion to re-solidify to anchor the connector in the low density layer.