parent children from the second tr

Take the names of the tbody columns and put them in the thead

Example

<table>
    <thead>
         Tr's nombres de columna (cabecera)
    </thead>
    <tbody>
        Tr's cuerpo de la tabla
    </tbody>

This way you use the tags provided by html for this purpose and you avoid having to skip the first tr

Try using gt (), this allows you to indicate which one to start with:

parent.children("tbody").children("tr:gt(0)").each(function(e){
       $(this).attr('id', (e));
});

Look, you could do the following, to the tbody put a id ,

 <tbody id="tb">
    <tr></tr>
    <tr></tr>
    <tr></tr>
    <tr></tr>
</tbody>

Then with javascript , using jquery you can style the tr or do with them what you want

$("#tb").children("tr").each(function(index,obj){ // index te da las cant 0 1 2 3 ... y obj te da el objeto en si <tr>bbb</tr>  <tr>aaaa</tr>  

     if(index > 0 ){ //trabajas con los que index > 0 para omitir el primero
         $(obj).css('color','red')
    }

});

The same method of .each has a built-in parameter to know in what index we are going over the elements that it finds.

Remember that the .each method runs through an array of matching elements.

It would simply be to put as an index parameter, and a conditional validation that only takes from the second tr.

link

$(document).ready(function(){

  $('table').children("tbody").children("tr").each(function(index, e){
     if( index >= 1){
        console.log($(this).attr('id'));
     }
  });
});

table tr td{
  border:1px solid black;
}

<table>
  <tbody>
    <tr id="firstRow">
      <td>Primer fila</td>
    </tr>
    <tr id="secondRow">
      <td>Segunda fila</td>
    </tr>
    <tr id="thirdRow">
      <td>Tercer fila</td>
    </tr>
    <tr id="fourthRow">
      <td>Cuarta fila</td>
    </tr>
  </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>