先贴代码，有时间在解释

<template>
  <div :class="$style.root">
    <div>主页面</div>
    <el-input v-model="txt" @input="onChange" />
  </div>
</template>
<script>
const TIME = 10; //时间，用于限定多长时间无操作提醒
export default {
  data() {
    return {
      txt: 1,
      worker: null,
    };
  },
  mounted() {
    this.worker = new Worker('/worker.js');

    this.worker.postMessage('start');
    this.worker.addEventListener('message', e => {
      console.log('e: ', e.data);
      const { times } = e.data;
      if (times >= TIME) {
        this.$message.error('页面失效');
        // 结束通信
        this.worker.postMessage('end');
      }
    });
    document.addEventListener('visibilitychange', function () {
      if (document.visibilityState == 'visible') {
        console.log('页面已显示');
      } else if (document.visibilityState == 'hidden') {
        console.log('页面已隐藏');
      }
    });
  },
  methods: {
    onChange() {
      this.worker.postMessage('end');
      this.worker.postMessage('start');
    },
  },
};
</script>
<style lang="scss" module>
@import '../../styles/common';

.root {
  @include center;
}
</style>

// public下面的worker.js

let timer;
self.addEventListener('message', e => {
  let times = 0;
  let msg;
  if (e.data == 'start') {
    timer = setInterval(() => {
      times++;
      msg = {
        status: 'editing',
        times,
      };
      self.postMessage(msg);
    }, 1 * 1000);
  } else {
    times=0;
    clearInterval(timer);
  }
});