This does not sound right. Your furnace needs to be inspected and maintained by a professional. This should be done regularly. I have someone come in every year for my oil furnace. While some very old units can be noisy, the amount of noise and vibration you describe makes me think that there is something very wrong that needs immediate attention. If you use it while it is obviously broken you may be taking your life into your own hands. Broken furnaces can easily cause death. Don't chance it.