PHP 데이터베이스 연결 시간 초과 오류를 처리하고 해당 오류 메시지를 생성하는 방법

$db_host = "localhost"; //数据库主机
$db_username = "root"; //数据库用户名
$db_password = "password"; //数据库密码
$db_name = "mydatabase"; //数据库名
$connection_timeout = 10; //连接超时时间（单位：秒）

$mysqli = new mysqli($db_host, $db_username, $db_password, $db_name);
$mysqli->options(MYSQLI_OPT_CONNECT_TIMEOUT, $connection_timeout);

try {
    $mysqli = new mysqli($db_host, $db_username, $db_password, $db_name);
    $mysqli->options(MYSQLI_OPT_CONNECT_TIMEOUT, $connection_timeout);
} catch (mysqli_sql_exception $e) {
    $error_message = "数据库连接超时：" . $e->getMessage();
    //生成错误日志，发送邮件等操作
}

try {
    $mysqli = new mysqli($db_host, $db_username, $db_password, $db_name);
    $mysqli->options(MYSQLI_OPT_CONNECT_TIMEOUT, $connection_timeout);
} catch (mysqli_sql_exception $e) {
    $error_message = "数据库连接超时：" . $e->getMessage();
    //生成错误日志
    error_log($error_message, 3, "error.log");

    //发送邮件
    $to = "admin@example.com";
    $subject = "数据库连接超时";
    $message = $error_message;
    $headers = "From: webmaster@example.com";

    mail($to, $subject, $message, $headers); 

    //显示错误信息给用户
    echo "很抱歉，数据库连接超时，请稍后再试！";
}